Question

Find the principle and general solution of cosec x = - 2

Answer 1

Answer:

Step-by-step explanation:

coscx=−2

⇒sinx=− 1/2

⇒sinx=sin (π+ π/6)

=sin 7π/6

(∵sin 7π = -1/2)

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 = sin7π/6

⇒x = nπ+(−1)^n7π/6;

n ∈ Integers