New Zealand
Level 8 - NCEA Level 3

Solve trigonometric equations

Interactive practice questions

Find all values of $\theta$θ in the interval $[$[$0,2\pi$0,2π$)$) that satisfy $\sin\theta=\frac{1}{2}$sinθ=12.

Write all values on the same line separated by a comma.

Easy
Approx 2 minutes

Find all values of $\theta$θ in the interval $[$[$0,2\pi$0,2π$)$) that satisfy $\cos\theta=-\frac{\sqrt{3}}{2}$cosθ=32.

Write all values on the same line separated by a comma.

Solve $\sin\theta=1$sinθ=1 where $0\le\theta\le2\pi$0θ2π.

Solve $\cos\theta=-1$cosθ=1 where $0\le\theta\le2\pi$0θ2π.

Outcomes

M8-7

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

91575

Apply trigonometric methods in solving problems