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Calculating Angles with Sine, Cosine and Tangent

# Calculating Angles with Sine, Cosine and Tangent

### Calculating Angles with Sine, Cosine and Tangent

We can also use the trigonometry ratios to find unknown angles in a right-angled triangle.

We have seen that the **Sine**, **Cosine** and **Tangent** ratios allow us to find unknown sides in a triangle. We can also use them to find unknown **angles** if we are given two sides.

Which of these is the Sine ratio?

In order to calculate **angles**, we need to use a new function. The Sine, Cosine or Tangent of an angle is **not** the same as the angle itself. We can find the angle itself by using the **inverse**:

$(sin^{-1}) \space or \space (cos^{-1}) \space or \space (tan^{-1}) \space$

If $sin(x)=0.5$, what is angle $x$?