New Zealand
Level 8 - NCEA Level 3

# General solutions to trigonometric equations

## Interactive practice questions

Find the general solution of $\sin\theta=\frac{1}{2}$sinθ=12 in radians.

You may use $n$n to represent an integer.

Easy
Approx 2 minutes

Find the general solution of $\tan\theta=\sqrt{3}$tanθ=3 in radians.

You may use $n$n to represent an integer.

Find the general solution of $\cos\theta=-\frac{\sqrt{3}}{2}$cosθ=32 in radians.

You may use $n$n to represent an integer.

Find the general solution of $\sec\theta=-\frac{2}{\sqrt{3}}$secθ=23 in radians.

You may use $n$n to represent an integer.

### Outcomes

#### M8-7

Form and use trigonometric, polynomial, and other non-linear equations

#### 91575

Apply trigonometric methods in solving problems