Maxima of a periodic curve occur at

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Maxima of a periodic curve occur at θ=π3+2πn\theta=\dfrac{\pi}{3}+2\pi n, its minima at θ=4π3+2πn\theta=\dfrac{4\pi}{3}+2\pi n, and the range of the curve is [−2,2][-2,2]. Which of the following equations best fits the curve? (a) y=2sin⁡(θ−π3)y=2\sin\left(\theta-\dfrac{\pi}{3}\right) (b) y=2cos⁡(θ−π3)y=2\cos\left(\theta-\dfrac{\pi}{3}\right) (c) y=−2cos⁡(θ−π3)y=-2\cos\left(\theta-\dfrac{\pi}{3}\right) (d) y=2cos⁡(θ+π3)y=2\cos\left(\theta+\dfrac{\pi}{3}\right)

Related theory

Browse the problem library