Question

if sin theta =11/16, then the value of cos theta is
a) 60/61 b) 61/60 c) 1 d) 0​

Answer 1

P=11
H=16
B=phytogorus theory
B=
Cos = b/h

Answer 2

We know :

sinθ = Opposite Side/Hypotenuse

To Find :

Value of cosθ

Solution :

cosθ = Adjacent Side/Hypotenuse

cosθ = Adjacent Side/61

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• Using Pythagoras Theorem

(Hypotenuse)² = (Opposite side)² + (Adjacent Side)²

⇒ (61)² = (11)² + (Adjacent Side)²

⇒ 3721 = 121 + (Adjacent Side)²

⇒ 3721 - 121 = (Adjacent Side)²

⇒ 3600 = (Adjacent Side)²

⇒ 60 = Adjacent Side

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cosθ = 60/61