Compound Angle Identities (Grade 12 NSC Matric Mathematics): Quizzes

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Compound Angle Identities
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Why doesn't cos⁡(α−β)=cos⁡α−cos⁡β\cos(α - β) = \cos α - \cos β?

Distributive law doesn't apply to trig

What is the compound angle formula for cos⁡(α−β)\cos(α - β)?

cos⁡αcos⁡β+sin⁡αsin⁡β\cos α \cos β + \sin α \sin β

What is the compound angle formula for sin⁡(α+β)\sin(α + β)?

sin⁡αcos⁡β+cos⁡αsin⁡β\sin α \cos β + \cos α \sin β

In cosine formulae, how does the sign relate to the angle operation?

Sign matches the angle operation

What is the compound angle formula for cos⁡(α+β)\cos(α + β)?

cos⁡αcos⁡β−sin⁡αsin⁡β\cos α \cos β - \sin α \sin β

How can 75°75° be expressed as a sum of special angles?

45°+30°45° + 30°

What does cos⁡25°\cos 25° equal using co-functions?

sin⁡65°\sin 65°

What is sin⁡(−β)\sin(-β) equal to?

−sin⁡β-\sin β

What does cos⁡65°cos⁡35°+sin⁡65°sin⁡35°\cos 65° \cos 35° + \sin 65° \sin 35° simplify to?

cos⁡(65°−35°)\cos(65° - 35°)

What is the compound angle formula for sin⁡(α−β)\sin(α - β)?

sin⁡αcos⁡β−cos⁡αsin⁡β\sin α \cos β - \cos α \sin β

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