If , then…

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

Problem

\sin^{100}\theta-\cos^{100}\theta=1

, then

\theta

is (1)

2n\pi+\frac{\pi}{3},\ n\in\mathbb{Z}

(2)

n\pi+\frac{\pi}{2},\ n\in\mathbb{Z}

(3)

n\pi+\frac{\pi}{4},\ n\in\mathbb{Z}

(4)

2n\pi-\frac{\pi}{3},\ n\in\mathbb{Z}