Tan ^{2} θ=sin ^{2} θ+cos ^{2} θ and 0<θ<90, then value of θ is ......

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8. Introduction to Trigonometry

easy

$\tan ^{2} \theta=\sin ^{2} \theta+\cos ^{2} \theta$ and $0<\theta<90,$ then the value of $\theta$ is ......

A

$30$

B

$45$

C

$60$

D

$75$

Solution

$\tan ^{2} \theta=\sin ^{2} \theta+\cos ^{2} \theta \quad \therefore \tan ^{2} \theta=1 \quad \therefore \tan \theta=1 \quad \therefore \theta=45$

Standard 10

Mathematics

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