Solve Question:If sin where is an acute angle, find the value of cos θ.

Question

Solve Question:If sin  where is an acute angle, find the value of cos θ.

Philoid · Accepted Answer

Sin θ =

Given Sin θ =

∴ Opposite side to θ = 7

Hypotonus = 25

If we represent the given values in a triangle

Using Pythagoras theorem, we going to find the other side.

∴ AC² = AB² + BC²

⇒ 25² = 7² + BC²

⇒ BC² = 25² -7²

⇒ BC² = 625 -49

⇒ BC = √476

⇒ BC = 24

∴ Adjacent side of a triangle is 24

Cos θ =

∴ Cos θ = .

Solve Question:
If sin where is an acute angle, find the value of cos θ.