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Mathematics

14 sin 30° + 6 cos 60° - 5 tan 45°

Trigonometric Identities

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Answer

Solving,

⇒14 sin 30° + 6 cos 60° - 5 tan 45°⇒14×12+6×12−5×1⇒7+3−5⇒5.\Rightarrow \text{14 sin 30° + 6 cos 60° - 5 tan 45°} \\[1em] \Rightarrow 14 \times \dfrac{1}{2} + 6 \times \dfrac{1}{2} - 5 \times 1 \\[1em] \Rightarrow 7 + 3 - 5 \\[1em] \Rightarrow 5.

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

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