Trigonometric Ratios and Applications

This video tutorial introduces trigonometry, focusing on using trigonometric ratios to find missing side lengths in right-angle triangles. It covers the tangent, sine, and cosine ratios through practical examples, demonstrating how to apply these concepts to solve problems. The video emphasizes the importance of correctly labeling triangle sides and using a calculator effectively.

What is the primary focus of this video tutorial?

• Solving quadratic equations

• Using trigonometry to find side lengths in right angle triangles

• Understanding calculus concepts

• Finding the area of triangles

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CCSS.HSG.SRT.C.6

Which trigonometric ratio is defined as opposite over adjacent?

• Cosine

• Sine

• Secant

• Tangent

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CCSS.HSG.SRT.C.6

In the first example, which trigonometric ratio is used to find the length of the opposite side?

• Sine

• Cosine

• Tangent

• Cosecant

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CCSS.4.MD.C.7

What is the angle used in the first example problem?

• 52 degrees

• 58 degrees

• 63 degrees

• 41 degrees

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CCSS.HSG.SRT.C.6

In the second example, which side of the triangle is being calculated?

• Adjacent

• Opposite

• Hypotenuse

• Base

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CCSS.HSG.SRT.C.6

Which trigonometric ratio is used in the second example to find the hypotenuse?

• Sine

• Cosine

• Cotangent

• Tangent

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CCSS.8.G.A.5

In the third example, what is the given angle in the triangle?

• 52 degrees

• 41 degrees

• 58 degrees

• 63 degrees

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CCSS.HSG.SRT.C.6

Which trigonometric ratio is used in the third example to find the adjacent side?

• Sine

• Secant

• Tangent

• Cosine

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CCSS.8.G.B.7

What is the length of the hypotenuse in the third example?

• 6 cm

• 3 cm

• 14 cm

• 7 cm

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CCSS.HSG.SRT.C.8

What is the final calculated length of the adjacent side in the third example?

• 4.57 cm

• 13.74 cm

• 3.75 cm

• 8.62 cm

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CCSS.HSG.SRT.C.8