# 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 $$0\leq x\leq 360^\circ$$