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
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
Similar questions