Trigonometric Functions and Applications

This video tutorial covers the basics of trigonometric ratios, focusing on right triangles. It introduces the concept of the hypotenuse, opposite, and adjacent sides, and explains the SOHCAHTOA acronym for solving trigonometric problems. The video includes step-by-step examples using sine and cosine to solve for unknowns in triangles, and provides practice problems for viewers to test their understanding.

What is the longest side of a right triangle called?

• Hypotenuse

• Opposite

• Adjacent

• Base

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CCSS.HSG.SRT.C.6

In the acronym SOHCAHTOA, what does 'SOH' stand for?

• Sine Over Hypotenuse

• Sine Over Height

• Sine Opposite Height

• Sine Opposite Hypotenuse

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CCSS.HSG.SRT.C.6

If the opposite side is 4 and the hypotenuse is 5, what is the sine of the angle?

• 0.75

• 0.6

• 0.8

• 0.9

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CCSS.HSF.TF.B.7

What is the inverse sine of 0.8 approximately equal to?

• 45 degrees

• 60 degrees

• 53.13 degrees

• 30 degrees

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CCSS.8.EE.C.7B

What should you do if you get the independent problem wrong?

• Review your steps

• Ignore it

• Ask a friend

• Guess the answer

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CCSS.4.G.A.1

In the second example, what is the angle given in the problem?

• 50 degrees

• 30 degrees

• 45 degrees

• 60 degrees

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CCSS.HSG.SRT.C.6

Which trigonometric function is used in the second example problem?

• Sine

• Cosecant

• Cosine

• Tangent

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CCSS.HSF.TF.A.2

What is the value of cosine 50 degrees approximately?

• 0.5

• 0.707

• 0.6427

• 0.8

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CCSS.8.G.B.8

In the second example, what is the calculated length of the hypotenuse?

• 6.67

• 5.67

• 4.67

• 3.67

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CCSS.HSG.SRT.C.8

What is the first step in solving a trigonometric problem using SOHCAHTOA?

• Guess the answer

• Use a calculator

• Calculate the angle

• Identify the sides

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CCSS.HSG.SRT.C.8