Express $\sin 67^{\circ}+\cos 75^{\circ}$

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Question.
Express $\sin 67^{\circ}+\cos 75^{\circ}$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ}$.

Solution:

sin 67° + cos 75°

= sin(90° – 23°) + cos (90° – 15°)

= cos 23° + sin 15°

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