When it comes to determining the trigonometric value of a particular angle, we rely on the principles of sine, cosine, and tangent ratios. These ratios are established based on right-angled triangles. The sine ratio represents the relationship between the opposite side and the hypotenuse, while the cosine ratio relates to the adjacent side and the hypotenuse. The tangent ratio, on the other hand, is the ratio of the opposite side to the adjacent side. These values are crucial in ascertaining an angle's location on the unit circle.
| Topic | Problem | Solution |
|---|---|---|
| None | Write the expression as a single function of $\al… | Write the expression as a single function of \(\alpha\). |
| None | Give the exact value of the expression without us… | The expression is asking for the cosine of the angle whose tangent is -2. |
| None | Use table for trigonometric function values of so… | From the angle addition formula, we have |
| None | $\csc \left(\arctan \left(\frac{6}{3}\right)\righ… | First, we need to find the arctangent of \(\frac{6}{3}\), which is the angle whose tangent is \(\fr… |