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Introduction to Trigonometry
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13/06/2021 12:04 pm
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Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.
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13/06/2021 12:05 pm
Given,
sin 67° + cos 75°
sin 67° = sin (90° – 23°)
cos 75° = cos (90° – 15°)
So, sin 67° + cos 75° = sin (90° – 23°) + cos (90° – 15°)
Now, simplify the above equation
= cos 23° + sin 15°
Therefore, sin 67° + cos 75° is also expressed as cos 23° + sin 15°