Home
Class 12
MATHS
If (1)/(cos alpha * cos beta )+ tan alp...

If ` (1)/(cos alpha * cos beta )+ tan alpha * tan beta = tan gamma ` , where ` 0 lt gamma lt (pi)/2 and alpha , beta ` are positive acute angles , show that ` (pi)/4 lt gamma lt (pi)/2`

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

If alpha = cos^(-1)((3)/(5)), beta = tan ^(-1)((1)/(3)) , where 0 lt alpha, beta lt (pi)/(2) , then alpha - beta is equal to

If cos^(-1) alpha + cos^(-1) beta + cos^(-1) gamma = 3pi , then alpha (beta + gamma) + beta(gamma + alpha) + gamma(alpha + beta) equal to

If 0 lt alpha lt beta lt (pi)/(2) then

If tan gamma=sec alpha sec beta+tan alpha tan beta, then cos2 gamma is necessarily (A) ge0 (B) le0 (C) lt0 (D) gt0

If 2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan alpha,tan beta and gamma are in

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta)=

If alpha+beta=pi/(4), then (1+"tan"alpha)(1+"tan"beta) is

If sin (alpha + beta) = 4/5 , cos (alpha - beta) = (12)/(13) 0 lt alpha lt (pi)/(4), 0 lt beta lt (pi)/(4), find tan 2 alpha .

If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2 alpha + 2 tan^2 alpha tan^2 beta tan^2 gamma = 1 then sin^2 alpha + sin^2 beta + sin^2 gamma =