Which of the following ordered triples can represent for some real ?

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Which of the following ordered triples can represent

(\sin\theta,\cos\theta,\tan\theta)

for some real

\theta

? (a)

\dfrac{3}{5},\;-\dfrac{4}{5},\;\dfrac{3}{4}

(b)

\dfrac{12}{13},\;\dfrac{5}{13},\;\dfrac{12}{5}

(c)

\dfrac{3}{5},\;\dfrac{4}{5},\;\dfrac{4}{3}

(d)

\dfrac{5}{13},\;\dfrac{12}{13},\;\dfrac{5}{11}