1.

If cosθ = 3/5, then find the value of tanθ.1.4/52. 4/33. 3/44. 5/4

Answer» Correct Answer - Option 2 : 4/3

Given:

cosθ = 3/5

Concept used:

In a right-angled triangle

cosθ = base/hypotenuse

tanθ = perpendicular/base

Pythagorus theorem

(Hypotenuse)2 = (Perpendicular)2 + (Base)2

Calculation:

Base = 3, Hypotenuse = 5

By using pythagorus theorem

⇒ (Perpendicular)2 = (5)2 – (3)2

⇒ (Perpendicular)2 = 25 – 9

⇒ (Perpendicular)2 = 16

⇒ Perpendicular = 4

tanθ = perpendicular/base

⇒ tanθ = 4/3

∴ The value of tanθ is 4/3.


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