Po = cos" x + sinn χ , then 2居-3A + 1 = 4

ICBSE 1996)COS X cos x + sinn sinx COSX in 1 44. nf (11) y dan fund fs (show that)

Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x cos 2x cos 3x

1+ cos 2x + cos 4 x+ cos 6x- 4 cos x cos 2x cos 3x =

Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x *cos 2x *cos 3x .

Prove that int_(0 )^(a) f (x) dx = int_(0)^(a) f (a -x) dx hence evaluate int_(0)^(pi/2) ( cos^5 x)/( cos^2 x+ sinn ^5 x) dx

The equilibrium constant for the reactions are : H_3PO_4 oversetKrarr H^+ + H_2PO_4^- : K_1 H_2PO_4 oversetKrarr H^+ + HPO_4^(2-) : K_2 HPO_4^(2-) oversetKrarr H^+ + PO_4^(3-) : K_3 The equilibrium constant for H_3PO_4 rarr 3H^+ + PO_4^(3-) will be :

prove that 3 cos^(-1) x = cos^(-1) (4x^3 - 3x), x in [1/2,1]