SOHCAHTOA RATIOS

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions: - SOH: Sine = Opposite/Hypotenuse - CAH: Cosine = Adjacent/Hypotenuse - TOA: Tangent = Opposite/Adjacent

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CCSS.HSG.SRT.C.6

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

If sin θ = 0.5, what is θ?

Back

θ = 30° (in a right triangle, sin 30° = 0.5).

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CCSS.HSG.SRT.C.7

Front

If cos θ = 0.6, what is θ?

Back

θ = 53.13° (approximately, since cos 53.13° = 0.6).

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CCSS.HSF.TF.B.7

Front

If tan θ = 1, what is θ?

Back

θ = 45° (in a right triangle, tan 45° = 1).

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CCSS.HSG.SRT.C.7

Front

How do you find the length of the opposite side using sine?

Back

Use the formula: Opposite = Hypotenuse × sin(θ).

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CCSS.HSG.SRT.C.8

Front

How do you find the length of the adjacent side using cosine?

Back

Use the formula: Adjacent = Hypotenuse × cos(θ).

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CCSS.HSG.SRT.C.8

Front

How do you find the length of the opposite side using tangent?

Back

Use the formula: Opposite = Adjacent × tan(θ).

Tags

CCSS.HSG.SRT.C.8