If theta is an acute angle and tan theta...

If `theta` is an acute angle and `tan theta + cot theta=2`, then the value of `tan^(5)theta + cot^(10) theta` is:

A

1

B

2

C

3

D

4

Verified by Experts

The correct Answer is:

A

`tan theta + cot theta = 2`
`tan theta = cot theta = 1`
`therefore tan^5 theta + cot^5 theta = 1^5 + 1^5 = 1`

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