Title: Trigonometry - General Addition Formulas

Authors: Justine Leon Uro (Author)
Licence: CC BY 4.0

TRIGONOMETRY: GENERAL ADDITION FORMULAS

For each item, drag the number or mathematical expression given on the right side of the display (or below) into the correct box so that an identity is formed.

Q: 1. \(\sin(\alpha + \beta)\) = \(\sin\alpha\cos\beta\) [...] \(\sin\beta\cos\alpha\)

2. \(\sin(\alpha - \beta)\) = \(\sin\alpha\cos\beta\) [...] \(\sin\beta\cos\alpha\)

3. \(\cos(\alpha + \beta)\) = \(\cos\alpha\cos\beta\) [...] \(\sin\alpha\sin\beta\)

4. \(\cos(\alpha - \beta)\) = \(\cos\alpha\cos\beta\) [...] \(\sin\alpha\sin\beta\)

5. \(\tan(\alpha\) [...]) = \(\displaystyle\frac{\tan\alpha + \tan\beta}{1 - \tan\alpha\tan\beta}\)

6. \(\tan(\alpha\) [...]) = \(\displaystyle\frac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta}\)

---oOo---oOo---oOo---oOo---oOo---oOo---oOo---oOo---
A: \(+\); \(-\); \(-\); \(+\); \(\;+\; \beta\); \(\;-\; \beta\)
Also offered: \(-\); \(\times\); \(\div\); \(1\); \(\tan\beta\); \(\csc\beta\); \(\sec\beta\); \(\sin^2\alpha\)
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