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Question: If <img src="https://cdn.pureessence.tech/canvas_402.png?top_left_x=0&top_left_y=300&width=300&heigh...

If , then where

A
B
C

k=sin⁡2θ\mathrm { k } = \sin ^ { 2 } \theta

D

k=cos⁡2θ\mathrm { k } = \cos ^ { 2 } \theta

Answer
Explanation

Solution

We have

=

= −sin⁡2θcos⁡n−2θ−cos⁡2θsin⁡n−2θ- \sin ^ { 2 } \theta \cos ^ { \mathrm { n } - 2 } \theta - \cos ^ { 2 } \theta \sin ^ { \mathrm { n } - 2 } \theta

=

=

where k = −sin⁡2θcos⁡2θ- \sin ^ { 2 } \theta \cos ^ { 2 } \theta