SOH-CAH-TOA

SOH-CAH-TOA

By Deb Scott

​Objective: Use Sine, Cosine, and Tangent to find side lengths

What is Trigonometry?

• Trigonometry is the study of the relationship between side lengths and angles in triangles.

• Study emerged in the Hellenistic (Greek) period during the 3rd Century BC

Multiple Choice

What is the length of the opposite side?

• 8

• 15

• 17

Multiple Choice

What is the length of the adjacent side?

• 8

• 15

• 17

Multiple Choice

What is the length of the hypotenuse side?

• 8

• 15

• 17

Multiple Choice

Sin C

Remember SOH

• 20/29

• 21/29

• 21/20

Multiple Choice

Cos C

Remember CAH

• 20/29

• 21/29

• 21/20

Multiple Choice

Tan C

Remember TOA

• 20/29

• 21/29

• 21/20

Multiple Choice

Sin A

Remember SOH

• 20/29

• 21/29

• 20/21

Multiple Choice

Cos A

Remember CAH

• 20/29

• 21/29

• 20/21

Multiple Choice

Tan A

Remember TOA

• 20/29

• 21/29

• 20/21

Multiple Choice

What is the ratio for Tangent

• Opp/Adj

• Adj/Opp

• Opp/Hyp

• Hyp/Opp

Multiple Choice

What is the ratio for Cosine?

• Opp/Hyp
• Opp/Adj
• Adj/Opp
• Adj/Hyp

Multiple Choice

What is the ratio for Sine?

• Hyp/Opp
• Opp/Hyp
• Opp/Adj
• Adj/Opp

Multiple Choice

Which one is the easy way to remember trigonometric ratios?

• Sah Coh Toa

• Soh Cah Toa

• Soh Cah Tao

• Soh Ceh Toa

Multiple Choice

Choose the correct ratio.

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14

• sin(37)=14/x

Multiple Choice

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

Multiple Choice

If you are given the hypotenuse and an adjacent side, which trig function should you use?

• sine

• cosine

• tangent

Multiple Choice

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x

Multiple Choice

What equation can be used to solve for x?

• Sin(40°)= x/40 

• Sin(40º)=x/19

• Cos(40º)=x/19

• Tan(40°)=19/x

Multiple Choice

Solve for x. Round to the nearest tenth.

• 7.5

• 34.1

• 14.1

Multiple Choice

Find the length of side W?
sin 68 = 70/w

• 186.86 m

• 75.50 m

• 28.28 m

• .01 m

Multiple Choice

Find x

• 9.54

• 15.26

• 0.03

• 0.05

Multiple Choice

Solve for x.

• 8

• 14

• 19.8

• 9.9

Multiple Choice

Find x rounded to the nearest tenth.

• 46.1

• 4.9

• 16.4

• 26.9

Multiple Choice

Find the value of "x" rounded to the nearest hundredth.

• 6.09

• 18.77

• 5.52

• 7.68

Open Ended

Using SOH-CAH-TOA solve for x. Round to the nearest tenth.

Multiple Choice

Using SOH-CAH-TOA solve for x. Round to the nearest whole numbe

• 6

• 10

• 19

Open Ended

Using SOH-CAH-TOA solve for x. Round to the nearest whole number.

Multiple Choice

Using SOH-CAH-TOA solve for x. Round to the nearest tenth.

• .1

• 13.8

• 18.2

Open Ended

Using SOH-CAH-TOA solve for x. Round to the nearest tenth.

Multiple Choice

Using SOH-CAH-TOA solve for x. Round to the nearest tenth.

• .2

• 4.6

Open Ended

Using SOH-CAH-TOA solve for x. Round to the nearest tenth.

Multiple Choice

Using SOH-CAH-TOA solve for x. Round to the nearest whole number.

• 10

• 12

• 14

• 16