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Question

If tanθ=13, then find the value of secθ.


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Solution

Finding the value of secθ:

Given, tanθ=13

Using trigonometric identity,
sec2θ-tan2θ=1

sec2θ=1+tan2θ=1+(13)2=1+13=43
secθ=23

Hence, the value of secθ=23.


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