Question

probe that (1+sin-cos)2/(1+sin+cos)2=1-cos/1+cos
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Answer 1

Answer:

We need to prove that (1-sinA+cosA)²=2(1+cos)(1-sin).

LHS:

▣ Simplify using (a+b+c)²=a²+b²+c²+2ab+2bc+2ca.

▣ Rearrange the terms.

▣ We know that cos²θ+sin²θ=1.

▣ Now, rearrange the terms.

▣ Take 2cos common and 2 common.

▣ Take (1-sinA) common.

▣ Take 2 common.

LHS=RHS.

HENCE PROVED.

FUNDAMENTAL TRIGONOMETRIC IDENTITIES:

T-RATIOS:

Answer 2

Answer:

Take 2 common points

Rearrange the terms

LHS =RHS

IDENTITIES

T RATIO