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Mathematics
Mathematics
Problem
For an acute angle
θ
\theta
θ
,
sin
θ
=
3
5
\sin\theta = \dfrac{3}{5}
sin
θ
=
5
3
. (a) Find
cos
θ
\cos\theta
cos
θ
. (b) Determine the values of
tan
θ
\tan\theta
tan
θ
and
cot
θ
\cot\theta
cot
θ
. (c) Verify that the product
tan
θ
cot
θ
\tan\theta\,\cot\theta
tan
θ
cot
θ
equals 1 for this angle.
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