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Mathematics
Mathematics
Problem
Prove that for any acute angle
θ
\theta
θ
,
sin
(
90
∘
−
θ
)
cos
(
90
∘
−
θ
)
+
cos
(
90
∘
−
θ
)
sin
(
90
∘
−
θ
)
=
csc
θ
sec
θ
.
\frac{\sin(90^\circ - \theta)}{\cos(90^\circ - \theta)} + \frac{\cos(90^\circ - \theta)}{\sin(90^\circ - \theta)} = \csc \theta\, \sec \theta.
cos
(
9
0
∘
−
θ
)
sin
(
9
0
∘
−
θ
)
+
sin
(
9
0
∘
−
θ
)
cos
(
9
0
∘
−
θ
)
=
csc
θ
sec
θ
.
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