Trig Ratios: Missing Side Lengths

Front

What are the primary trigonometric ratios used to find missing side lengths in right triangles?

Back

The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan).

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CCSS.HSG.SRT.C.6

Front

How do you calculate the sine of an angle in a right triangle?

Back

Sine of an angle = Opposite side / Hypotenuse.

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CCSS.HSG.SRT.C.6

Front

How do you calculate the cosine of an angle in a right triangle?

Back

Cosine of an angle = Adjacent side / Hypotenuse.

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CCSS.HSG.SRT.C.6

Front

How do you calculate the tangent of an angle in a right triangle?

Back

Tangent of an angle = Opposite side / Adjacent side.

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CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem and how is it used in trigonometry?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse. It is used to find missing side lengths.

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CCSS.8.G.B.8

Front

What is the relationship between the angles and sides in a right triangle?

Back

The angles in a right triangle determine the ratios of the lengths of the sides, which are consistent for similar triangles.

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CCSS.HSG.CO.C.10

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place; if it's 5 or more, round up the tenths place by one.

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CCSS.3.NBT.A.1

CCSS.4.NBT.A.3

Front

What is the significance of estimating heights in application-based trigonometry problems?

Back

Estimating heights helps in real-world applications, such as determining the height of objects using angles of elevation.

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CCSS.HSG.SRT.C.8

Front

What is the formula for finding the height of an object using trigonometry?

Back

Height = Distance from the object * tan(angle of elevation).

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CCSS.HSG.SRT.C.8

Front

How can you use trigonometric ratios to solve for a missing side length?

Back

Identify the known angle and the sides involved, then use the appropriate trigonometric ratio to set up an equation and solve for the missing side.

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CCSS.HSG.SRT.C.8