Exploring Right Triangle Trigonometry

This video introduces the final unit of the year on trigonometry, focusing on the graphs and applications of trigonometric functions. It begins with a review of right triangle trigonometry, covering the sine, cosine, and tangent functions. The video explains the concept of these functions using the mnemonic 'SOHCAHTOA' and provides practice problems to reinforce understanding. It also demonstrates how to use trigonometry to find missing side lengths in right triangles, emphasizing the importance of identifying the correct trigonometric relationship. The video concludes with examples and practice problems to solidify the concepts discussed.

What are the three primary trigonometric functions discussed?

• X, Y, Z

• Addition, Subtraction, Division

• Secant, Cosecant, Cotangent

• Sine, Cosine, Tangent

Tags

CCSS.HSG.SRT.C.6

What does the Greek letter theta commonly represent in trigonometry?

• An unknown variable

• A specific type of function

• An angle in a triangle

• A type of graph

Tags

CCSS.8.G.A.5

In right triangle trigonometry, what does the sine of an angle represent?

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

• Opposite over Hypotenuse

Tags

CCSS.HSG.SRT.C.6

Which function is used to find the ratio of the adjacent side to the hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

Tags

CCSS.HSG.SRT.C.6

What is the mnemonic used to remember the definitions of sine, cosine, and tangent?

• COSINESOH

• SOHCAHTOA

• HATSOCOHA

• CHOASOHTA

If the opposite side is 8 and the hypotenuse is 17, what is the sine of the angle?

• 15/17

• 8/17

• 17/8

• 8/15

Tags

CCSS.HSG.SRT.C.6

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

• Adjacent / Opposite

• Hypotenuse / Opposite

• Opposite / Hypotenuse

• Adjacent / Hypotenuse

Tags

CCSS.HSG.SRT.C.6

What is the first step in finding the length of a missing side using trigonometry?

• Draw the triangle

• Calculate the angle's sine

• Choose the correct trigonometric function

• Identify the angle

Tags

CCSS.HSG.SRT.C.8

When solving for a side in the denominator, what mathematical operation is initially performed?

• Addition

• Subtraction

• Multiplication

• Division

Tags

CCSS.4.MD.A.2

What calculator mode must be used when calculating trigonometric functions?

• Degree

• Graphing

• Scientific

• Radian