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Domain and Range of Basic Inverse Trigonometric Functions

If tanθ =θ ...

Question

If $tan θ = cot θ$ and $0^{o} \leq θ \leq 90^{o}$ , state the value of $θ$ .

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Solution

$t a n θ = c o t θ tan θ = t a n (90 - θ) θ = 90 - θ 2 θ = 90 θ = 45 °$

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