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Question
Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.
sin67° + cos75°
Solution
\[\sin67^\circ + \cos75c\]
\[ = \cos\left( 90^\circ - 67^\circ \right) + \sin\left( 90^\circ - 75^\circ \right)\]
\[ = \cos23^\circ + \sin15^\circ\]
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