Question

Prove that (cosecA-sinA)=1/sinA-sinA

Answer 1

Step-by-step explanation:

Given :-

Cosec A - Sin A

To find :-

Prove that (cosecA-sinA)=(1/sinA)-sinA

Solution:-

LHS :-

Cosec A - Sin A

We know that

Cosec A = 1/Sin A

=> (1/Sin A) - Sin A

=> RHS

LHS = RHS

or

RHS :-

(1/Sin A) - Sin A

We know that

Cosec A = 1/Sin A

=> Cosec A - Sin A

RHS = LHS

Hence , Proved.

Answer:-

(Cosec A - Sin A )= (1/Sin A) - Sin A

Used formulae:-

• Cosec A = 1/Sin A

• Sin A = 1/Cosec A

• Sin A × Cosec A = 1

• Cosec A × Sin A = 1