Prove that :`cosec A - 2 cot 2A cos A = 2 sin A`

Prove that: (cos A - sin A + 1)/(cos A + sin A -1) = "cosec"A + cot A

Prove that: (cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A sin 3A - sin 2A sin 5A + sin 4A sin 7A) = cot 6A cot 5A

Prove that ( "cosec" A - sin A)(sec A- cos A)=(1)/((tan A+ cot A)).

If cos A = 2 sin A, then cosec A is equal to: यदि cos A = 2 sin A तो cosec A का मान क्या होगा ?

Prove that: cotA-cot2A="cosec"2A

Prove that , (Cot A-cos A)/(cot A+cos A)=(cosec A-1)/(cosec A+1)

Prove that: (cosec A-sin A)(sec A-cos A)=(1)/(tan A+cot A)

Prove that sin cot^(-1) tan cos^(-1) x = sin cosec^(-1) cot tan^(-1) x = x, " where " x in [0,1]