If `sintheta + sin 2theta = a and costheta + cos2theta = b`, show that,`(a^2+b^2)(a^2+b^2-3)=2b`

If sin theta + sin 2 theta = a " and " cos theta + cos 2 theta = b, "show that," (a^(2) + b^(2))(a^(2) +b^(2) -3)=2b

If sin theta + cos theta = a, and sin theta = cos theta = b , then A) a^2 + b^2 = 1 B) a^2 - b^2 = 1 C) a^2 + b^2 = 2 D) a^2 - b^2 = 2

If cosec theta- sin theta= a^3, sec theta- cos theta= b^3 , prove that a^2b^2(a^2+b^2)=1 .

If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3) , then prove that a^(2)b^(2)(a^(2) + b^(2))= 1.

(sintheta+sin 2theta)/(1+costheta+cos2theta)=

If sin theta + cos theta =a, and sin theta - cos theta =b, then ..... (A) a^2 + b^2 =1 (B) a^2 - b^2 = 1 ( C) a^2 + b^2 =2 (D) a^2 - b^2 =2

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, Prove that a^(2)+b^(2)=m^(2)+n^(2)

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.