Question

prove that cos theta/1+sin theta=1-sin theta/cos theta​

Answer 1

LHS - cos 45°/1+sin 45°

(1/√2)/(1+1/√2)

(1/√2)/(√2+1/√2)

(1/√2+1)

(1×√2-1)/(√2+1×√2-1)

(√2-1)(2-1)

(√2-1)

RHS - 1-sin45°/cos45°

(1-1/√2)(1/√2)

(√2-1)