Question

verify using trig identities: 3sinx-2cos^2x/2+sinx=2sinx-1

Answer 1

use the identity :
cos^2(x) = 1 - sin^2(x)

Answer 2

so, for the numerator can be
3sin(x) - 2cos^2(x)
= 3sin(x) - 2(1- sin^2(x))
= 2sin^2(x) + 3sin(x) - 2

Answer 3

factor out that, then u will can simplify by do cancel out for the similar terms

Answer 4

got it ?

Answer 5

Yeah thanks for the help.