Trig Ratios Missing Angles

Front

What is the definition of Trigonometric Ratios?

Back

Trigonometric ratios are the ratios of the lengths of the sides of a right triangle. They are used to relate the angles of the triangle to the lengths of its sides.

Tags

CCSS.HSG.SRT.C.6

Front

What is the ratio for Sine?

Back

Sine = Opposite / Hypotenuse

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CCSS.HSG.SRT.C.6

Front

What is the ratio for Cosine?

Back

Cosine = Adjacent / Hypotenuse

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CCSS.HSG.SRT.C.6

Front

What is the ratio for Tangent?

Back

Tangent = Opposite / Adjacent

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CCSS.HSG.SRT.C.6

Front

How do you find the missing angle in a right triangle using Trig Ratios?

Back

Use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹) to find the angle based on the known side lengths.

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CCSS.HSG.SRT.C.8

Front

If the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle?

Back

Sine = Opposite / Hypotenuse = 5 / 13.

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CCSS.HSG.SRT.C.6

Front

If the adjacent side is 12 and the hypotenuse is 13, what is the cosine of the angle?

Back

Cosine = Adjacent / Hypotenuse = 12 / 13.

Tags

CCSS.HSG.SRT.C.6

Front

If the opposite side is 5 and the adjacent side is 12, what is the tangent of the angle?

Back

Tangent = Opposite / Adjacent = 5 / 12.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

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CCSS.8.G.B.8

Front

How do you round an angle to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

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CCSS.HSF.TF.A.1