Intro to Trig Ratios

Front

What does SOH-CAH-TOA stand for?

Back

SOH-CAH-TOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios in a right triangle: Sine = Opposite/Hypotenuse (SOH), Cosine = Adjacent/Hypotenuse (CAH), Tangent = Opposite/Adjacent (TOA).

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CCSS.HSG.SRT.C.6

Front

What type of triangles can SOH-CAH-TOA be used for?

Back

SOH-CAH-TOA can only be used for right triangles.

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CCSS.HSG.SRT.C.8

Front

What is the ratio for Sine?

Back

Sine is defined as Opposite/Hypotenuse.

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CCSS.HSG.SRT.C.6

Front

What is the ratio for Cosine?

Back

Cosine is defined as Adjacent/Hypotenuse.

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CCSS.HSG.SRT.C.6

Front

What is the ratio for Tangent?

Back

Tangent is defined as Opposite/Adjacent.

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CCSS.HSG.SRT.C.6

Front

If the opposite side is 9 and the hypotenuse is 41, what is the sine ratio?

Back

Sine = Opposite/Hypotenuse = 9/41.

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CCSS.HSG.SRT.C.6

Front

If the adjacent side is 40 and the hypotenuse is 41, what is the cosine ratio?

Back

Cosine = Adjacent/Hypotenuse = 40/41.

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CCSS.HSG.SRT.C.6

Front

If the opposite side is 9 and the adjacent side is 40, what is the tangent ratio?

Back

Tangent = Opposite/Adjacent = 9/40.

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CCSS.HSG.SRT.C.6

Front

Solve for x if sin(x) = 0.77.

Back

x ≈ 50.7 degrees.

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CCSS.HSF.TF.B.7

Front

Solve for x if tan(x) = 1.5.

Back

x ≈ 56.3 degrees.

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CCSS.HSF.TF.B.7