Question

Heyy guys!! tantheta= √3,sex theta= ​

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

Given :

• tanθ = √3

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To Find :

• Value of secθ

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Solution :

We know that :

$\sf{\tan \theta \: = \: \sqrt{3}} \\ \\ \implies {\sf{\tan \theta \: = \: \tan 60^{\circ}}} \\ \\ \implies {\sf{\boxed{\theta \: = \: 60^{\circ}}}}$

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Now, value of secθ Is

$\implies {\sf{\sec \theta }} \\ \\ \implies {\sf{\sec 60^{\circ}}} \\ \\ \implies{\sf{\sec 60^{\circ} \: = \: 2}} \\ \\ {\underline{\sf{\therefore \: Value \: of \: \sec 60^{\circ} \: is \: 2}}}$

Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\pink{\:\:\:\:\:\:\:Given:-\:\:\:\:\:\:\:}}$

$\sf tan\theta=\sqrt{3}$

$\sf\underline{\blue{\:\:\:\:\:\:\:To\:Find:-\:\:\:\:\:\:\:}}$

$\sf:\bullet sec\theta=?$

Now

$\bf\underline{\red{\:\:\:\:\:\:\:A.T.Q:-\:\:\:\:\:\:\:}}$

$\sf:\implies we\: know\:that\:tan60{}^{\circ}=\sqrt{3}\\ \\ \sf:\implies so,\: tan\theta=tan60{}^{\circ}\\ \\ \sf:\implies {\boxed{\theta=60{}^{\circ}}}$

Now

$\sf sec\theta\\ \\ \sf:\implies \theta=60{}^{\circ}\\ \\ \sf:\:\:we\:know\:that\: sec\:60{}^{\circ}=2\\ \\ \sf:\implies sec\theta=2$

$\sf{\boxed{sec\theta=2}}$