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Q.

If tanx + cotx = 2 , then sin2n⁡x+cos2n⁡x is equal to

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a

2n

b

-12

c

12

d

12n-1

answer is D.

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Detailed Solution

Since,

tan⁡x+1tan⁡x=2⇒tan⁡x=1⇒x=π4sin⁡x=12 and cos⁡x=12Hence ,sin2n⁡x+cos2n⁡x=12n+12n=12n−1

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