[" (a) Fring antivid "(1)/(1-cos A)+(1)/(1+cos A)=2csc^(2)A]

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Prove the following identities : (1)/ (1 + cos A) + (1)/ (1 - cos A) = 2 cosec^(2) A

Find the value of (1+cos A)(1-cos A)cosec^(2)A .

Prove that (sin A)/(1 + cos A) + (sin A)/(1 - cos A) = 2 cosec A.

Prove the following identities : sqrt ((1 - cos A) /(1 + cos A)) = cosec A - cot A

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)

2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

Prove that : (1)/ (1 + cos (90^(@) - A)) + (1)/ (1 - cos (90^(@) - A)) = 2 cosec^(2) (90^(@) - A)

Prove that : (1 + cos A)/(1 - cos A) = (cosec A + cot A)^(2)

Prove that : (sin A)/ (1 + cos A) + (1 + cos A)/ (sin A) = 2 cosec A

(1)/(1-cos theta)-(1)/(1+cos theta)=(2cos theta)/(sin^(2)theta)=2cot theta xx csc