Find The Possible Integral Values Of a for Which Cos 2x + A Sin X = 2a – 7 Has Solutions.

Which of the following statement is correct

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

The number of solution of the equation

  is/are

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

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

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

If A and B are acute angles such that A + B and A – B satisfy the equation tan² θ – 4 tan θ + 1 = 0, then find the value of A and B.

Simplify the product cos A cos 2A. cos2²A…..cos2^n-1A.