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If tantheta+cottheta=5 , then tan^(2)...

If `tantheta+cottheta=5` , then `tan^(2)theta+cot^(2)theta` is

A

23

B

24

C

25

D

26

Text Solution

Verified by Experts

The correct Answer is:
A
`tan theta + cot theta = 5`
` tan theta + (1)/(tan theta) = 5`
` therefore tan^2 theta + cot^2 theta = (tan theta + (1)/(tan theta) )^2 - 2`
` = 5^2 -2 = 23`
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