Trigonometry

Front

What is the definition of Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles.

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CCSS.HSG.SRT.C.7

Front

What is the sine ratio?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

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CCSS.HSG.SRT.C.6

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

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CCSS.HSG.SRT.C.6

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

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CCSS.HSG.SRT.C.6

Front

What is the formula for finding the sine of an angle?

Back

sin(θ) = Opposite / Hypotenuse.

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CCSS.HSG.SRT.C.6

Front

What is the formula for finding the cosine of an angle?

Back

cos(θ) = Adjacent / Hypotenuse.

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CCSS.HSG.SRT.C.6

Front

What is the formula for finding the tangent of an angle?

Back

tan(θ) = Opposite / Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

If sin(30°) = 1/2, what is the opposite side if the hypotenuse is 10?

Back

The opposite side is 5.

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CCSS.HSG.SRT.C.8

Front

If cos(60°) = 1/2, what is the adjacent side if the hypotenuse is 8?

Back

The adjacent side is 4.

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CCSS.HSG.SRT.C.8

Front

If tan(45°) = 1, what is the ratio of the opposite side to the adjacent side?

Back

The ratio is 1:1.

Tags

CCSS.HSG.SRT.C.6