Math, asked by pavithrabala1, 1 year ago

Prove that cosec4theta-cosec2theta=cot2theta+cot4theta.

Note:2 and 4 are the powers.

Answers

Answered by 1Ranvijay
1
cosec4a-cosec2a=cot2a+cot4a ( let theta=a)
=cosec4a-cot4a=cot2a+cosec2a
now LHS=cosec4a-cot4a

=(cosec2a)2-(cot2a)2
=cosec2a+cot2a )(cosec2a-cot2a). = cosec2a+cot2a
therefore cosec4a-cosec2a=cot4a+cot2a
Similar questions