Question

If sin θ =15/17, find the value of cos θ, (θ is an acute angle).​

Answer 1

Given:-

• Sin θ = 15/17
• ∠A = θ

════◄••❀••►════

To Find:-

• Value of Cos θ

════◄••❀••►════

T-ratios Used:-

• Sin θ = Perpendicular / Hypotenuse
• Cos θ = Base / Hypotenuse

════◄••❀••►════

Solution:-

Let the p and h be 15k and 17k

In ∆ABC

By Pythagorean Theorem

AB = √{(AC)² - (BC)²}

= √{(17k)² - (BC)²}

= √{289k² - 225k²}

= √{64k²}

= 8k

Cos θ = AB/AC

= 8k/17k

= 8 / 17

════◄••❀••►════

Answer:-

Value of Cos θ is 8/17.

════◄••❀••►════