Introduction to Right Triangle Trigonometry

Which trig functions could you use to solve for x? Select all that apply.

• Sine

• Cosine

• Tangent

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CCSS.HSG.SRT.C.6

What is the value of x?

• 17.30

• 11.33

• 18.4

• 19.12

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CCSS.HSG.SRT.C.8

What is the value of x?

• 9.17

• 98.13

• 57.52

• 43.11

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CCSS.HSG.SRT.C.8

Solve for x.

• 103.5

• 0.01

• 55.0

• 23.4

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CCSS.HSG.SRT.C.8

In a right triangle, the acute angles have the relationship

sin (2x + 4) = cos (46).

What is the value of x?

• 20

• 21

• 24

• 25

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CCSS.HSG.SRT.C.7

Give each trig ratio as a fraction in simplest form for the given right triangle diagram.

sin R - ​ (a)  

cos R - ​ ​ (b)  

tan R - ​​ ​ (c)  

• 25/24

• 24/25

• 7/25

• 24/7

• 25/7

• 7/24

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CCSS.HSG.SRT.C.6

 Find cosC

• 16/34

• 16/30

• 30/34

• 34/16

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CCSS.HSG.SRT.C.6

Find the value of sin Z.

• 20/21

• 21/29

• 21/20

• 20/29

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CCSS.HSG.SRT.C.6

Give each trig ratio as a fraction in simplest form for the given right triangle diagram.

sin Q - ​ (a)  

cos Q - ​ ​ (b)  

tan Q - ​​ (c)  

• 25/24

• 7/24

• 24/25

• 7/25

• 24/7

• 25/7

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CCSS.HSG.SRT.C.6

Set up the problem.

• sin(47) = x/28

• cos(47) = x/28

• tan(47) = x/28

• cos(47) = 28/x

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CCSS.HSG.SRT.C.6