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Mathematics
Mathematics
Problem
Which of the following ordered triples can represent
(
sin
θ
,
cos
θ
,
tan
θ
)
(\sin\theta,\cos\theta,\tan\theta)
(
sin
θ
,
cos
θ
,
tan
θ
)
for some real
θ
\theta
θ
? a)
3
5
,
−
4
5
,
3
4
\dfrac{3}{5},\;-\dfrac{4}{5},\;\dfrac{3}{4}
5
3
,
−
5
4
,
4
3
b)
12
13
,
5
13
,
12
5
\dfrac{12}{13},\;\dfrac{5}{13},\;\dfrac{12}{5}
13
12
,
13
5
,
5
12
c)
3
5
,
4
5
,
4
3
\dfrac{3}{5},\;\dfrac{4}{5},\;\dfrac{4}{3}
5
3
,
5
4
,
3
4
d)
5
13
,
12
13
,
5
11
\dfrac{5}{13},\;\dfrac{12}{13},\;\dfrac{5}{11}
13
5
,
13
12
,
11
5
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