Express sin 74° + tan 74° in terms of trigonometric ratios of angles between 0° and 45°.

Question

Accepted Answer

Let's express sin 74° + tan 74° in terms of angles between 0° and 45°.

First, recall that 74° = 90° - 16°.

1. sin 74° = sin(90° - 16°) = cos 16°
2. tan 74° = tan(90° - 16°) = cot 16°

Therefore:
sin 74° + tan 74° = cos 16° + cot 16°

Thus, the correct answer is 'cos 16° + cot 16°'.

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Answer

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