Math, asked by sameerdahiya23, 11 months ago

TA
Q.16. If tan 0 + cot 0 = 5, then the value of tan²0 + cot² O is:
(a) 23
(b) 25
(c) 27
(a) 15

Answers

Answered by allysia
8

Answer:

Option (a) is the correct answer.

Step-by-step explanation:

We have,

tanθ + cotθ =5

Squaring both sides we get,

(tanθ + cotθ)²=5²

tan²θ +cot²θ +2 (tanθ)(cotθ) =25

Since (tanθ)(cotθ) =1

Therefore we have,

tan²θ + cot²θ + 2 = 25

tan²θ + cot²θ = 23

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