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If + = 2, then the value of ^{2} + ^{2} is ____________.

Question

If $tan θ + cot θ = 2$ , then the value of $tan^{2} θ + cot^{2} θ$ is ____________.

4

2

\frac{3}{2}

5

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Michael Discussed

tan θ + cot θ = 2

, then the value of

tan^{2} θ + cot^{2} θ

is ____________.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

We know

t an θ = \frac{1}{co tθ}

So,

(t an θ + co tθ)^{2} = t a n^{2} θ + co t^{2} θ + 2

\Rightarrow (2)^{2} = t a n^{2} θ + co t^{2} θ + 2

\Rightarrow t a n^{2} θ + co t^{2} θ = 2^{2} - 2 = 2

So, Option (B)

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Question Text	If $tan θ + cot θ = 2$ , then the value of $tan^{2} θ + cot^{2} θ$ is ____________.
Answer Type	Text solution:1
Upvotes	150