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Answer:
√ 26
Step-by-step explanation:
Given----> tanθ = 5
To find ---> we have to find value of Secθ by using the identity
Solution----> ATQ, tanθ = 5
We know that,
1 + tan²θ = Sec²θ
=> Sec²θ = 1 + tan²θ
=> Sec²θ = 1 + ( tanθ )²
Putting tanθ = 5 , in it we get,
=> Sec²θ = 1 + ( 5 )²
=> Sec²θ = 1 + 25
=> Sec²θ = 26
=> Secθ = ±√26
We take + value of Secθ because θ is acute angle and for acute angle all trigonometric ratios are positive .
So, Secθ = √26
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