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If sin theta + cos theta=a then sin^4 theta + cos^4 theta=

Vedant , 7 Years ago
Grade 10
anser 2 Answers
Anushka Mishra

Last Activity: 7 Years ago

sin theta + cos theta=a(sin^2 theta)^2 + (cos^2 theta)^2=(sin^2 theta + cos^2 theta)^2 - 2sin^2 theta cos^2 theta1 - 2[ (sin theta + cos theta)^2 - (sin^2 theta + cos^2 theta)/2]^2= 1- 2[( a^2-1)^2/4]= 1- (a^2-1)^2/2You can expand it now.

Karthikeya I C4IPL

Last Activity: 3 Years ago

sin theta + cos theta=a(sin^2 theta)^2 + (cos^2 theta)^2=(sin^2 theta + cos^2 theta)^2 - 2sin^2 theta cos^2 theta1 - 2[ (sin theta + cos theta)^2 - (sin^2 theta + cos^2 theta)/2]^2= 1- 2[( a^2-1)^2/4]= 1- (a^2-1)^2/2You can expand it now.
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