Question

If A and B are acute angles such that sin A = sin2 B, 2cos2 A = 3 cos2 B; then

Solution

Correct option is

A = π/6 or B = π/4

From the given conditions

     

 

 

   

     

But since A is acute, we have A = π/6.

 

 

SIMILAR QUESTIONS

Q3
Q4

Which of the following statement is correct

Q5

 then the value of tan α tan 2α tan 3α….tan(2n-1)α is equal to

Q6

The number of solution of the equation

  is/are

   

Q7
Q8

If tan x = 2b/(a – c) (a  c), y = a cos2 x + 2b sin x cos x + c sin2 c and z = a sin2 x – 2b sin x cos x + c cos2 x, then

Q9
Q10

If cos (θ – α), cos θ and cos (θ + α) are in harmonic progression, then cosθ sec (α/2) is equal to