Trigonometric equations test questions

1

How many solutions are there to the equation \(sinx = -0.9\) where \(0\leq \times \textless 360\)?

2

How many solutions are there to the equation \(sinx = 2\) where \(0 \leq \times \textless 360\)?

3

Solve the equation \(sinx = 0.5\) where \(0 \leq \times \textless 360\).

4

Solve the equation \(cosx = -0.5\) where \(0\leq x\textless 2\pi\).

5

Solve the equation \(5cosx - 2=0\) where \(0\leq x\textless 360\).

6

Solve the equation \(\sqrt{2}cosx-1=0\) where \(0\leq x\textless\pi\)

7

Solve the equation \(2\cos3x+1=0\), where \(0\leq x\textless 360^\circ\)

8

Solve the equation \(3\,cos\,x+1 = 0.766\), where \(0\leq x\leq 540^\circ\)

9

Solve the equation \(6sin^{2}x+sin\,x-1=0\), where \(0\leq x\leq 2\pi\)

10

Solve the equation \(2\,cos (x+60)=\sqrt{3}\), where \(0\leq x\leq 360^\circ\)