Question

if sin@ + cosec@ =√3 prove that Sin^2@+cosec^2@=1​

Answer 1

Answer:

Step-by-step explanation:

sin A+cosec A= √3

Square both sides

Use the formula (a+b)^2

We get

sin ^2 A+2sinAcosecA+cosec ^2 A=3

Sin ^ 2 A+2sinA*1/sinA+cosec ^ 2 A=3

Sin ^ 2 A+ cosec ^2 A=3-2

So,

Sin ^ 2 A+cosec ^2 A=1

Proved!!