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Mathematics

Evaluate :
14 sin 30° + 6 cos 60° - 5 tan 45°.

Trigonometric Identities

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Answer

14 sin 30° + 6 cos 60° - 5 tan 45°

$= 14 \times \dfrac{1}{2} + 6 \times \dfrac{1}{2} - 5 \times 1$

= 7 + 3 - 5

= 10 - 5

= 5

Hence, 14 sin 30° + 6 cos 60° - 5 tan 45° = 5.

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