Question

How to solve if tanθ + cotθ = 5, then the value of tan2 θ+ cot2 θ?

Answer 1

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Answer 2

Answer:

23

Step-by-step explanation:

Given,

tanθ+cotθ=5

Now squaring both sides we get,

⇒(tan  

2

θ+cot  

2

θ+2.tanθ.cotθ)=25

⇒tan  

2

θ+cot  

2

θ=25−2 [ Since tanθ.cotθ=1]

⇒tan  

2

θ+cot  

2

θ=23.