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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:

(sin1) or (cos1) or (tan1) (sin^{-1}) \space or \space (cos^{-1}) \space or \space (tan^{-1}) \space

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