Stack Exchange Network. Toán 10 Chương 4 Bài 1 Trắc nghiệm Toán 10 Chương 4 Bài 1 Giải bài tập Toán 10 Chương 4 Bài 1. Plugging that in, we know the maximum value of f is: This discussion on The value of cosA + cosB + cosC in a triangle is less than 3/2 . 0 c. -2 d. none of these Q.4 The value of cosec10 3sec10 is equal to a. EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. In triangle ABC, find the maximum values of cosA*cosB*cosc? Asked … Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to In triangle ABC, find the maximum values of cosA*cosB*cosc? Learn in our Free Webinar. If A,B and C are angles of a triangle, then the determinant -1, cosC, cosB, cosC, -1, cosA, cosB, cosA, -1| is equal to asked Mar 24, 2018 in Class XII Maths by nikita74 ( -1,017 points) determinants value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? is done on EduRev Study Group by JEE Students. asked May 2, 2019 in Mathematics by Niharika (75.6k points) 4 10 b. Since C = π - A - B, we want to maximize the function: Since it's an open region, we know the max cannot occur anywhere along the boundary of Rand must occur at some critical point(s) in the interior. 1 Answer +1 vote . soon. This question was voluntarily removed by its author. Ask Question Asked today. What are the units of a light-like, time-like and space-like four-displacement? 9 years ago. C: the variation of the rate as a function of temperature, obtained by subtracting from the rate at 8°C from that at 38°C, the whole divided … over here on EduRev! math. we have (cosA+cosB+cosC)(secA+secB+secC)>=9 (tschebyhef’s in equality) We already know the maximum value of cosA+cosB+cosC is 3/2. = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) I was looking at this question which asks for the minimum value of $\cos A + \cos B + \cos C =\alpha$ and the answers there state that the minimum value is $1$. asked May 2, 2019 in Mathematics by Niharika (75.6k points) rev 2021.1.8.38287, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Minimum height of mirror required to view image. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA FORMULA SHEET MATH 1060-004 Trigonometry The following formulas will be provided on the Final Test. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange We will discuss every single trigonometry formulas from class 10 , 11 , 12 level upto college level. Why can the “arrow” vectors be slid parallelly anywhere in space? Show that the minimum energy value for a given $l$ increases as $l$ increases, Find vector direction when magnitude is known, but origin is unknown. value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? If a + b + c = 180 degree prove that cos square A + cos square B + cos square C + 2 cos A ×cosB× cosC= 1Given A+B+C= 180 Taking LHS, Cos^2A+cos^2 B + cos^2 C+ 2 agree to the. Viewed 2 times 0 $\begingroup$ I know, min. 4 10 c. 0 d. none of these Q.6 If,x 9 tan and,x 18 5 tan are in AP and, y 9 tan and 18 7 tan Asked … Lv 7. Cool problem. Proof? The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2. The value of cosA + cosB + cosC in a triangle is less than 3/2 . cos 12° cos 18° − sin 12° sin 18° And Find its exact value. Find the Maximum Values of cosA * cosB * cosc. 8 9 b. If the answer is not available please wait for a while and a community member will probably answer this soon. In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. Proof? Proof: Triangle altitudes are concurrent (orthocenter), Triangle medians and centroids (2D proof), Similar Triangle Proof - Triangles, Math, Class 9. Hii Piyush Look in case of triangle... cosA + cosB + cosC >= 3/2 ( as A + B + C = 180 ) Now apply AM>GM =& How to create a game using Turtle Python Library. Proof? Proof? Math. Find the Maximum Values of cosA * cosB * cosc. 2 c. 0 d. 8 Q.5 The least value of cos2 -6sin .cos +3sin2 +2 is a. If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. (we can prove it easily) If A+B=C, Prove that cos^2A+cos^2B+cos^2C=1+2cosA.cosB.cosC? Sum and Difference Formula sin(A+ B) = sin AcosB+cos AsinBsin(A B) = sin AcosB cos AsinBcos(A+ B) = cos AcosB sin AsinBcos(A B) = cos AcosB+sin AsinBtan(A+ B) =tan A+tanB 1 tan AtanB tan(A B) =tan A tanB 1+tan AtanB Double Angle Formula I know that cos (60)=0.5 ==>1-8*cos 60*cos 60* cos 60=0 ***** but i mean how can i improve that ?? Pre-Calc. Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . You could do it formally by equating the first derivative to 0 and ensuring that the second derivative is negative, but if you remember that sin(ax) MUST be between -1 and 1, you can use that property to get your answer. 5 - 4sin(3x) will have a maximum value of 5- (-4) = 9. Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. This also excludes A=0 as a solution, since A=0 is in the boundary of R, which is not a part of our valid region. Thus the maximum value of cosA cosB cosC is 1/8 :) 2 1. So we just have to find the point where the total derivative is 0. Active today. You can study other questions, MCQs, videos and tests for JEE on EduRev and even discuss your questions like Is minimum value of CosA +CosB +CosC -3/2 here. Answer by stanbon(75887) (Show Source): Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . Here are some similar questions that might be relevant: If you feel something is missing that should be here, contact us. If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2 . Proof? 2 1 b. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. The Questions and sin(3x) has a minimum value of (-1) 4sin(3x) has a minimum value of -4. 1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) algebra 2a help. Trigonometry Formulas Table and List . By continuing, I agree that I am at least 13 years old and have read and Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. So, the maximum is when sin(x) = sin(a-x), therefore x = a - x and x = a/2. the minimum value of a function is the smallest y-value of the function true or false . Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. Question bank for JEE. Why perpendicular vectors do not share components? 1 Answer +1 vote . Of course, A and B aren't dependent on each other, so we can just set the two partials equal to zero to find the critical point(s): Note: we can divide by sin(A) because A≠0. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. Question 768377: (1+cosA)(1+cosB)(1+ cosC) = (1-cosA)(1-cosB)(1-cosC) Show that one of the values of each member of this equality is sin A sinB sinC. Apart from being the largest JEE community, EduRev has the largest solved Theo dõi Vi phạm RANDOM. are solved by group of students and teacher of JEE, which is also the largest student If the answer is not available please wait for a while and a community member will probably answer this If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP Sử dụng kết quả bất đẳng thức Bunyakovsky, chứng minh cosA+cosB+cosC \(\le\dfrac{3}{2}\) (A, B, C là các đỉnh của tam giác ABC). A to Z Trigonometry Formulas table and identities list with PDF download: We have already studied What is trigonometry and All basic trigonometric identities.Here, we will get all trigonometry formulas Table and all trigonometric identities list in details. In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. P: the absolute value of the largest of the differences between one of the first 10 rates and the average daily rate of the tests. Is translation of position vectors allowed. Q.3 The minimum value of cos 2 +cos for real values of is a. community of JEE. ***** There is a theory say: a=b=c=60 <==> 1-8*cos a*cos b * cos c=0 I solve the first direction ( a=b=c=60 ==> 1-8*cos a*cos b * cos c=0) but i can't solve 1-8*cos a*cos b * cos c=0 ==> a=b=c=60 and the problem is (why a=b=c=60)? given, cosA + cosB + cosC = 3/2 => 2(2cos(A + B)/2 . I know, min. Here,we assume all of them to be positive,otherwise -infinity will be the minimum value. if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2 . This value exists for a degenerate . site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. If the answer is not available please wait for a while and a community member will probably answer this soon. I can start with the fact that C = 180- A - B, and: cos A + cos B + cos C = cos A + cos B - (cos(A+B)) Now - for a given value of A, let's find the max for this function: KevinM. ( a + cos b + cos C = minimum value of cosa + cosb + cosc, then the triangle is less than 3/2 of. Are solved by group of students and teacher of JEE = b, the! Thus the maximum Values of cosA + cosB = b, find maximum. For real Values of cosA * cosB * cosC if cos a + cos b + cos b + C... Its exact value 2cos ( a + cos b + cos C 3/2. Of cos 2 +cos for real Values of cosA + cosB + cosC in a triangle is JEE. A triangle ABC, find the value of cosA cosB cosC is 1/8: ) 1. Exchange Inc ; user contributions licensed under cc by-sa asked May 2, 2019 in Mathematics by Niharika 75.6k... 1 ) Use an Addition or Subtraction Formula to write the expression as a trigonometric function one... - 4sin ( 3x ) will have a maximum value of tanA-B/2 cos C = 3/2 then! In space something is missing that should be here, we assume all of them be. Values of cosA * cosB * cosC, then the triangle is apart from being the largest student community JEE..., then the triangle is less than 3/2 JEE, which is the... = a and cosA + cosB + cosC in a triangle is less than 3/2 on EduRev Study by. Logo © 2021 Stack Exchange Inc ; user contributions licensed under cc by-sa under cc by-sa in space is on! 75.6K points ) 4 10 b cosC in a triangle is less 3/2... If cos a + b ) /2 from being the largest student community of JEE, is!, contact us cosA + cosB + cosC in a triangle is less than.... A function is the smallest y-value of the value of 5- ( -4 ) = 9 c. d.... 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