Question

if tan theta =2,then find sec theta​

Answer 1

sec(theta) is 1

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EXPLANATION

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We Know :

Tan theta = 2

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Question :

sec theta = ..?

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Answer :

$\Large{\boxed{\sf{tan(theta) = sin(theta) / cos (theta) }}}$

$\Large{\boxed{\sf{sec(theta) = 1 / cos (theta) }}}$

Lets Solve :

$\sf{tan(theta) = sin(theta) / cos (theta) }$

$\sf{2 = 2 / 1 }$

So,

• sin(theta) = 2
• cos(theta) = 1

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$\sf{sec(theta) = 1 / cos (theta) }$

$\sf{sec(theta) = 1 / 1 }$

$\sf{sec(theta) = 1 }$

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So, sec(theta) is 1

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Details

• Subject : Math
• Class : -
• Theory : Trigonometri
• Keywords : trigonometri, sec(theta), sin(theta), cos (theta)