Question

Find the general solution of cosec^2 x -2= 0

Answer 1

Answer:

cscx=−2

⇒sinx=−

2

1

⇒sinx=sin(π+

6

π

)=sin

6

7π

(∵sin

6

7π

=−

2

1

)

The general solution of an equation of the type

sinx=siny

is x=nπ+(−1)

n

y; n∈Integers

∴ General solution of the equation

sinx=sin

6

7π

⇒x=nπ+(−1)

n

6

7π

; n∈Integers