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Trig Equations
| Question | Answer |
|---|---|
| Sin(arcsin(x)) | x |
| cos^2+sin^2 | 1 |
| 1+tan^2 | sec^2 |
| cot^2+1 | csc^2 |
| sin(pi/2 - theta) | cos theta |
| cos(pi/2 - theta) | sin theta |
| tan(pi/2 - theta) | cot theta |
| cot(pi/2 - theta) | tan theta |
| sec(pi/2 - theta) | csc theta |
| csc(pi/2 - theta) | sec theta |
| sin(-x) | -sinx |
| sin2x | 2sinxcosx |
| cos2x | cos^2(x)-1, cos^2(x)-sin^2(x), AND 1-2sin^2(x) |
| tan2x | (2tanx)/1-tan^2(x) |
| cos(u-v) | cosucosv+sinusinv |
| cos(u+v) | cosucosv-sinusinv |
| sin(u-v) | cosusinv-cosvsinu |
| sin(u+v) | cosusinv+cosvsinu |
| tan(u+-v) | sin(u+-v)/cos(u+-) OR (tanu+-tanv)/1-+tanutanu |
| sin^2(x) | (1-cos2x)/2 |
| cos^2(x) | (1+cos2x)/2 |
| tan^2(x) | (1-cos2x)/(1+cos2x) |
| sinx/2 | +-radical ((1-cosx)/2) |
| cosx/2 | +-radical ((1+cosx)/2) |
| tanx/2 | +-radical ((1-cosx)/(1+cosx)), (1-cosx)/sinx, AND sinx/(1+cosx) |