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The trigonometric functions with which we are most familiar are sine and cosine. From them, we can obtain tangent, and also the reciprocals secant, cosecant and cotangent.
In the past, mathematicians have used many other trigonometric functions too. Some of these are illustrated below.
Find the following lengths, in terms of $\sin\theta$ and $\cos \theta$.
Can you find line segments on the diagram that have the following lengths?
We know that $\cos\theta = \sin\left(\frac{\pi}{2} - \theta\right)$.