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Mathematics
Mathematics
Problem
An acute angle
θ
\theta
θ
satisfies
sin
θ
=
5
13
\sin\theta = \dfrac{5}{13}
sin
θ
=
13
5
. a. (i) Find
cos
θ
\cos\theta
cos
θ
. b. (ii) Hence, find the value of
sin
2
θ
+
cos
2
θ
\sin^2\theta + \cos^2\theta
sin
2
θ
+
cos
2
θ
.
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