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If tanθ = k and θ is an acute angle, then, cos θ is equal to –

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If tanθ = k and θ is an acute angle, then, cos θ is equal to – 


1. 1/√(k2 + 1)
2. k/√(k2 + 1)
3. 1/√(k2 - 1)
4. k
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Correct Answer - Option 1 : 1/√(k2 + 1)

Given:

⇒ tanθ = k

Calculation:

tanθ = Perpendicular/Base

Hypotenuse = √(k2 + 1)

Cos θ = Base/Hypotenuse

⇒ cos θ = 1/√(k2 + 1)

 

 

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