Question

please answer the above question
I have to prove them equal

Answer 1

Hey dear friend

See attachment☝☝☝


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Answer 2

Heya....

===== Ans =====

Ques 8

CosQ / 1+SinQ = 1-SinQ / CosQ

Taking LHS & by rationalising :-

CosQ/1+SinQ x 1-SinQ/1-SinQ
= CosQ(1-SinQ)/ 1-SinQ^2
= 1-SinQ/CosQ ( CosQ canceled with CosQ)

___________

Ques 12

1-CosQ/SinQ= SinQ/1+CosQ

Taking LHS & by rationalising

1-CosQ/SinQ x sin Q/SinQ
=( 1-CosQ)(SinQ)/SinQ^2

1-CosQ(SinQ ) /( 1-CosQ)(1-CosQ)

= SinQ/1+CosQ RHS proved...

Note :- Q = sign of theta..

Thank you