Question

Proove that: cosec A - cot A = √1- cos A/ 1 + cos A

Answer 1

Answer:

Proved below

Step-by-step explanation:

LHS

1/sin A - cos A/sin A

1-cos A/sin A

RHS

√1-cos A/1+cos A * √1-cos A/1-cos A

√(1-cos A)^2/(1+cos A)(1-cos A)

√(1-cos A)^2/(1-cos^2 A)             because (a+b)(a-b)=a^2-b^2

√(1-cos A)^2/(sin^2 A)                 because sin^2 A+cos ^2 A=1

1-cos A/sin A

LHS=RHS

Hence proved

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