Let `a =pi/7` Show that `sin^2 3a + sin^2 a = sin 2a sin 3a`

Let a=(pi)/(7) , then show that sin^(2)3a-sin^(2)a=sin2asin3a .

Let a=(pi)/(7) , then (a) show that sin^(2)3a-sin^(2)a=sin2asin3a (b) show that co sec a=co sec 2a+co sec4a . (c) Prove that cos a is a root of the equation 8x^(3)+4x^(2)-4x+1=0 .

Let a=(pi)/(7) , then (a) show that sin^(2)3a-sin^(2)a=sin2asin3a (b) show that co sec a=co sec 2a+co sec4a . (c) Prove that cos a is a root of the equation 8x^(3)+4x^(2)-4x+1=0 .

If A+B+C = 2pi , show that sin^(3)A+sin^(3)B + sin^(3)C = 3sin A/2* sin B/2* sin C/2 - sin3A/2*sin 3B/2 * sin3C/2

If" " 0 < theta < pi/2, " then show that " sin theta sin 2 theta sin 3 theta le 9/16

Let 0

Show that : sin pi/7 *sin 2pi/7* sin3pi/7 = sqrt7/8

Show that sin 3 A + sin 2A -sin A = 4 sin A cos (A)/(2) cos "" (3A)/( 2)

Let 0 lt A, B lt (pi)/(2) satisfying the equation 3 sin ^(2) A + 2 sin ^(2) B =1 and 3 sin 2A - 2 sin B =0 then A +2B =

Show that: sin^2 pi/8 + sin^2 (3pi)/8+sin^2 (5pi)/8+sin^2 (7pi)/8=2