Solve the trigonometric equation sin x2sin x 1 0 in the in

Solve the trigonometric equation (sin x)(2sin x + 1) = 0 in the interval [0, 360 degree). Answer Find the exact value of arcsin (sin5 pi/6) Answer Find the exact value of arccos (tan3 pi/4) Answer

Solution

14)

sinx(2sinx+1) = 0

sinx = 0 and 2sinx + 1 = 0 => sinx = -1/2

x = 0 or pi and x = 7pi/6

15

a)

arcsin(sin5pi/6) = 5pi/6

b)

arccos(tan3pi/4) = arccos(-1) = pi