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