Pythagorean & Double Angle Identities

Front

What is the Pythagorean Theorem?

Back

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What are the double angle identities for sine and cosine?

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What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the hypotenuse, while the cosine is the ratio of the length of the adjacent side to the hypotenuse.

Front

What is the range of the sine and cosine functions?

Back

The range of both the sine and cosine functions is from -1 to 1.

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What is the unit circle and how does it relate to trigonometric functions?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. The coordinates of points on the unit circle correspond to the values of sine and cosine for angles measured from the positive x-axis.

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