Math, asked by mukesh6845, 9 months ago

evaluate (sin thera + cos theta)square + ( sin theta - cos theta) square​

Answers

Answered by kandothsalim
1

Answer:Letme consider theta=x

Step-by-step explanation:

(Sinx+cos x)^2 + (sinx-cosx)^2

=sinx^2 + 2sinxcosx + cosx^2 + sinx^2 - 2sinxcox +cosx^2

=sin^2x +cosx^2 + sinx^2- cosx^2

= 1 + sinx^2- cosx^2

= 1-(cosx^2 - sinx^2)

=1 - cos2x

This is the answer....

Hope it helps

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