Question

If sec B =25/7 Find all the trigonometry ratio with diagram using p•t​

Answer 1

Answer:

Given : Sec B = 25/7

To find : All other trigonometric ratios

Solution : Let's take a triangle ABC right angles at A with base AB , perpendicular AC and hypotenuse BC .

We know that sec = 1 / cos

So therefore cos = 7/25

Also , Cos = Base / Hypotenuse

So base = 7 units and hypotenuse = 25 units

By Pythagorean theorem ,

BC² = AB² + AC²

(25)² = 7² + AC²

625 - 49 = AC²

576 = AC²

AC = √576 or 24 units

Sin B = Perpendicular / Hypotenuse

Sin B = 24/25

Tan B = Perpendicular / Base

Tan B = 24/7

Cos B = 7/25

Cosec B = 1 / sin B

Cosec B = 25/24

Cot B = 1 / Tan B

Cot B = 7/24