Home
Class 12
MATHS
Simplify: cot (beta - gamma) cot (gamma ...

Simplify: `cot (beta - gamma) cot (gamma - alpha) + cot (gamma - alpha) cot (alpha - beta) + cot (alpha - beta) cot (beta - gamma)`

Text Solution

Verified by Experts

The correct Answer is:
`cot(beta - gamma) cot (gamma - alpha) + cot (gamma - alpha) cot (alpha -beta) + cot (alpha -beta) cot(beta - gamma) = 1`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|23 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If cos beta cos (gamma- alpha)= cos (alpha- beta+ gamma) , prove that cot alpha+ cot y= 2cot beta

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

If alpha + beta = 90^@ and cot alpha = 4/3 then cot beta =

If cos (beta - gamma) + cos (gamma - alpha) + cos (alpha - beta) = -3/2, "show that", cos alpha + cos beta + cos gamma = 0 "and" sin alpha + sin beta + singamma = 0."Hence deduce that," cos (beta - gamma) = cos (gamma - alpha) = cos (alpha - beta) = -1/2.

If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alpha + beta)) =2

If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be

If cot^(2) theta= cot (theta-alpha) cot( theta- beta) , prove that cot alpha+ cot beta=2 cot 2 theta

If cot alpha=tan (beta+delta) then alpha+beta+delta =

Using properties of determinants in Exercises prove that : {:|( alpha , alpha ^(2) , beta +gamma ),( beta , beta ^(2) , gamma +alpha ),( gamma , gamma ^(2) ,alpha +beta ) |:} =(beta -gamma ) (gamma -alpha ) (alpha -beta ) (alpha +beta +gamma )

If alpha, beta, gamma ,are positive acute angles and sin (alpha+beta-gamma)=cos(beta+gamma-alpha)=tan (gamma+alpha-beta)=1 find alpha,beta and gamma .