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23 August, 09:11

Which expression is equal to sin 75°? sin 135° cos 60° - cos 135° sin 60° cos 135° cos 60° + sin 135° sin 60° sin 135° cos 60° + cos 135° sin 60° cos 135° cos 60° - cos 135° cos 60°?

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  1. 23 August, 10:49
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    These are the sum/difference formulas in trigonometry. The first formula is in accordance with sin (α - β) = sinα * cosβ - cosα * sinβ. If we combine the first one with this formula, we'll obtain sin 135° cos 60° - cos 135° sin 60° = sin (135-60) = sin75 °
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