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If sinθ = 0.96, then find cotθ 1. 0.29162. 0.45633. 0.48764. 0.3456

Answer» Correct Answer - Option 1 : 0.2916

Given:

sinθ = 0.96

Formula used:  

sinθ = perpendicular/hypotenuse,

cotθ = base/perpendicular

By Pythagoras theorem,

Hypotenuse= Perpendicular+ Base2

Calculation:

According to the question:

sinθ = 0.96 = 96/100 = 24/25

Perpendicular = 24

⇒ Hypotenuse = 25

Hypotenuse= Perpendicular+ Base2

⇒ 252 = 242 + Base2

⇒ 625 = 576 + Base2

⇒ 625 – 576  = Base2

⇒ Base2 = 49

⇒ Base = √49

⇒ Base  = √(7 × 7) = 7

Now, cotθ = base/perpendicular

⇒ 7/24 = 0.2916

∴ The value of cotθ = 0.2916.



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