Question

if tan theta equals to x then value of sec theta is​

Answer 1

Answer:

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Step-by-step explanation:

ur answer is there in image

Answer 2

Answer:

Given that, tan∅ = x

We know that,

sec²∅ - tan²∅ = 1 => sec²∅ = 1 + tan²∅

$\tan( \theta) = x \\ \tan^{2} ( \theta) = {x}^{2} \\ 1 + \tan^{2} ( \theta) = 1 + {x}^{2} \\ \sec^{2} ( \theta) = 1 + {x}^{2} \\ \boxed{\sec( \theta) = \sqrt{1 + {x}^{2} } }$

• sec∅=√(1+x²) is the right answer.