Question

if sin theta =11 ÷61 then find the value of cos theta​

Answer 1

Answer:

Cos theta = 60÷61

Step-by-step explanation:

sin theta =opposite side ÷hypotenuse side= 11÷61

so, opposite side=11

hypotenuse side =61

according to pythagoras theorem

(hyp)^2=(opp)^2 + (adj)^2

(61)^2=(11)^2 + (adj)^2

(adj)^2 =3721 - 121

adj = 60

cos theta = 60÷61

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