Question

prove that (cosec-cot)² = 1-cos/1+cos
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(cosec-cot)²

as we written as

(1/sin-cos/sin)²=(1-cos)²/sin². {cosec=1/sin, cot= cos/sin}

(1-cos)(1-cos)/sin²

(1-cos)(1-cos)/1-cos². {sin²+cos²=1,so sin²=1-cos²}

(1-cos)(1-cos)/(1+cos)(1-cos). {a²-b²= (a+b)(a-b)

1-cos/1+cos = R.H.S