| Question | Answer |
| sin ( A + B ) | sinA cosB - sinB cosA |
| sin ( A - B ) | sinA cosB + sinB cosA |
| cos ( A + B ) | cosA cosB - sinA sinB |
| cos ( A - B ) | cosA cosB - sinA sinB |
| tan ( A + B ) | |
| identity involving sin ^2 and cos ^2 | sin ^2 x + cos ^2 x = 1 |
| identity involving tan ^2 and sec ^2 | tan ^2 x + 1 = sec ^2 x |
| identity involving cot ^2 and cosec ^2 | 1 + cot ^2 x = cosec ^2 x |
| sin 2A | 2 sinA sinB |
| cos 2A | cos ^2 A - sin ^2 A or 1 - 2 sin ^2 A or 2 cos ^2 A - 1 |
| tan 2A |
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