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Mathematics
Problem
Evaluate the exact value of
sin
75
∘
+
sin
15
∘
\sin75^{\circ}+\sin15^{\circ}
sin
7
5
∘
+
sin
1
5
∘
. a. (a) Express
sin
75
∘
+
sin
15
∘
\sin75^{\circ}+\sin15^{\circ}
sin
7
5
∘
+
sin
1
5
∘
as a product of two trigonometric functions. b. (b) Hence find its exact value in simplest radical form.
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