Defining and Understanding Trigonometric Ratios

Find the value of each trigonometric ratio.

• a

• b

• c

• d

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CCSS.HSG.SRT.C.6

Let's focus on these two:

Hypotenuse = c

Adjacent = 8

Which trig ratio uses these two sides?

• sine

• cosine

• tangent

• cotangent

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CCSS.HSG.SRT.C.6

What is the ratio of Sin <D?

• sin<D = 4/5 = .8

• sin<D = 3/5=.6

• sin<D = 5/4 =1.25 

• sin <D = 5/3 = 1.7

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CCSS.HSG.SRT.C.6

What is the side length ratio for Sine?

• Opp/Hyp

• Opp/Adj

• Adj/Opp

• Adj/Hyp

Answer explanation

SOH CAH TOA

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CCSS.HSG.SRT.C.6

Find the value of \tan\ C

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CCSS.HSG.SRT.C.6

What is the formula for calculating tangent?

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CCSS.HSG.SRT.C.6

The cosine function is defined:

• Hypotenuse / Adjacent

• Opposite / Hypotenuse

• Adjacent / Hypotenuse

• Opposite / Adjacent

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CCSS.HSG.SRT.C.6

Which side is adjacent to angle x?

• 1

• 2

• 3

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CCSS.HSG.SRT.C.6

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CCSS.HSG.SRT.C.6

• 0.775

• 0.815

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CCSS.MATH.CONTENT.HSG.SRT.C.8