Prove that 2(cosec4A+cot4A) = cotA - tanA
2 (cosec4A + cot4A ) = 2 ( 1/ sin4A + cos4A / sin4A )
= 2 ( 1+ cos4A / sin4A )
= 2 ( 2 cos2 2A / 2 sin2A cos2A )
= 2( cos2A / sin2A )
= 2( cos2 A - sin2 A / 2 sinA cosA )
= cotA - tanA
Prove that 2(cosec4A+cot4A) = cotA - tanA
2 (cosec4A + cot4A ) = 2 ( 1/ sin4A + cos4A / sin4A )
= 2 ( 1+ cos4A / sin4A )
= 2 ( 2 cos2 2A / 2 sin2A cos2A )
= 2( cos2A / sin2A )
= 2( cos2 A - sin2 A / 2 sinA cosA )
= cotA - tanA