Determine the set of all that satisfy .

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

Problem

Determine the set of all

\theta\in[0,2\pi)

that satisfy

\tan\theta=-1

. (a)

\Big\{\dfrac{\pi}{4},\,\dfrac{5\pi}{4}\Big\}

(b)

\Big\{\dfrac{\pi}{4},\,\dfrac{3\pi}{4},\,\dfrac{5\pi}{4},\,\dfrac{7\pi}{4}\Big\}

(c)

\Big\{\dfrac{3\pi}{4},\,\dfrac{7\pi}{4}\Big\}

(d)

\Big\{\dfrac{3\pi}{4}\Big\}