Question

If tan θ + cot θ = 5, find the value of tan2θ + cotθ.​

Answer 1

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.

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Answer 2

Step-by-step explanation:

See this attachment..

⇒tan2θ+cot2θ=23..

Hope its help..