Sine and Cosine in Trigonometry

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How are sine and cosine functions denoted for an angle θ?

$\sin \theta$ and $\cos \theta$

How can sine and cosine functions be extended to any real value?

In terms of the lengths of certain line segments in a unit circle

What is the definition of sine for an acute angle in the context of a right triangle?

The ratio of the length of the side opposite the angle to the length of the hypotenuse

What are sine and cosine commonly used to model?

Periodic phenomena such as sound and light waves

How are sine and cosine written using functional notation?

$\sin$ and $\cos$

Test your knowledge of sine and cosine functions, and their definitions in the context of right triangles. Explore the ratios of side lengths and how they relate to the angles in trigonometry.

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