Question

cos 2 theta / 1+sin 2 theta = tan (pi/4 - theta)

Answer 1

taking R.H.S

tan(45-theta)

tan45-tantheta/1+tan45.tanx

1-tan theta/1+tan theta

byLHS

(1-tan²theta/1+tan²theta)/1+(2 tan theta)/1+tan²theta

(1-tan²theta/1+tan²theta)/(1+tan²theta+2 tan theta)(1+tan²theta)

then,it comes

(1-tan²theta)/(1+tan theta)²

(1-tan theta)(1+tan theta)/(1+tan theta)*(1+tan theta)

so

(1-tan theta)/(1+tan theta)

L.H.S=R.H.S

HENCE PROVED

Answer 2

Hope this answer will gonna help ya

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