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| Question | Answer |
| Summary of Sine, Cosine, and Tangent angles and values | |
| The properties of the function cosx | Periodic property: cos(x-360) = cosx Even/odd property: cos(-x) = cosx Translation property: cos(x-180) = -cosx Supplementary property: cos(180-x) = -cosx |
| The properties of the function of sinx | Periodic property: sin(x-360) = sinx Even/odd property: sin(-x) = -sinx Translation property: sin(x-180) = -sinx Supplementary property: sin(180-x) = sinx |
| The properties of the function tanx | Periodic property: tan(x-180) = tanx Odd property: tan(-x) = -tanx Supplementary property: tan(180-x) = -tanx |
| Solving the equation cosx = k | Step 1: Find cos-1(k) Step 2: Use the symmetry property cos(-x) = cosx to find another root Step 3: Add or subtract multiples of 360 to find the roots in the required interval |
| Solving the equation sinx = k | Step 1: Find sin-1(k) Step 2: Use the symmetry property sin(180-x) = sinx to find another root Step 3: Add or subtract multiples of 360 to find the roots in the required interval |
| Solving the equation tanx = k | Step 1: Find tan-1k Step 2: Add or subtract multiples of 180 to find the roots in the required interval |
| Relations between the trigonometric function. Sometimes called Pythagoras' theorem in trigonometry. | For all values of x: tanx = sinx/cosx, provided that cosx does not equal 0; cos^2(x) + sin^2(x) = 1 |
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