Question

solve the following equations for all possible values of x:

1) 5sinx+1=3sinx

2) 7cosx + 9= -2cosx

3) cot (3x/2) = -√3

Answer 1

please answer at least one! [:

Answer 2

\[2sinx=-1\]
\[sinx=\frac{-1}{2}\]
\[x=\frac{7\pi}{6}, \frac{11\pi}{6} + 2\pi n\]

Answer 3

\[9\cos x=-9\]
\[\cos x=-1\]
\[x=\pi +2\pi n\]

Answer 4

\[\tan \frac{3x}{2}=-\frac{\sqrt{3}}{3}\]
\[\frac{3x}{2}=\frac{5\pi}{6}, \frac{11\pi}{6}, \frac{17\pi}{6}\]
\[x=\frac{10\pi}{18},\frac{22\pi}{18}, \frac{34\pi}{18} + 2\pi n\]