Question

if 15 cot a equal to 8 then find the value of cosec a​

Answer 1

Answer:

Consider a right triangle, right angled at B.

Cot A= Side adjacent to A / Side opposite to A = AB/BC

it is given that,

Cot A = 8/15

AB / BC = 8/15

Let AB be 8 k. therefore BC will 15 k where k is a positive integer .

Applying pythagoras theorem in triangle ABC,

AC² = AB²+BC²

AC²= (8K)²+(15K)²

AC = 17K

SIN A = Side opposite to A / Hypotenuse = BC /AC

COSEC A = 1/ SIN A

COSEC A = AC/BC = 17K / 15K = 17/15