Intro to basic trig ratios

Intro to Trig Ratios

​Labeling Sides

​When using trigonometric ratios, labeling the sides correctly is VERY IMPORTANT.

​

​If you label the sides incorrectly, you will end up with the wrong answer.

Label your sides

Opposite- the side across from your reference angle. ​

​

​Adjacent- the side between the reference angle and the right angle

​Hypotenuse- the longest side, it's across from the right angle.

Multiple Choice

What is the mnemonic, or memory tool, you can use to remember the trig ratios?

• Sah Coh Toa

• Soh Cah Toa

• Soh Cah Tao

• Soh Ceh Toa

Multiple Choice

What is the side adjacent of C?

• 7

• 24

• 25

Multiple Choice

What is the side opposite of C?

• 7

• 24

• 25

Multiple Choice

What is the hypotenuse of this right triangle?

• 7

• 24

• 25

Multiple Choice

What is sinC = ?

• 24/25

• 7/25

• 24/7

Multiple Choice

What is cosC = ?

• 24/25

• 7/25

• 24/7

Multiple Choice

What is tanC = ?

• 24/25

• 7/25

• 24/7

• 7/24

Multiple Choice

What is the hypotenuse?

• 6

• 8

• 10

Multiple Choice

What is the side opposite of A?

• 6

• 8

• 10

Multiple Choice

What is the side adjacent to A?

• 6

• 8

• 10

Multiple Choice

What is the sinA = ?

• 6/10 = 3/5

• 8/10 = 4/5

• 6/8 = 3/4

• 8/6 = 4/3

Multiple Choice

What is the cosA = ?

• 6/10 = 3/5

• 8/10 = 4/5

• 6/8 = 3/4

• 8/6 = 4/3

Multiple Choice

What is the tanA = ?

• 6/10 = 3/5

• 8/10 = 4/5

• 6/8 = 3/4

• 8/6 = 4/3

Multiple Choice

What is the ratio for SINE?

• $$\frac{Opposite}{Adjacent}$$

• $$\frac{Adjacent}{Hypotenuse}$$

• $$\frac{Opposite\ }{Hypotenuse}$$

• $$\frac{Adjacent}{Opposite}$$

Multiple Choice

What is the ratio for COSINE?

• $$\frac{Adjacent}{Hypotenuse}$$

  
  

• $$\frac{Opposite\ }{Adjacent}$$

• $$\frac{Adjacent}{Opposite}$$

• $$\frac{Opposite}{Hypotenuse}$$

Multiple Choice

What is the ratio for TANGENT?

• $$\frac{Adjacent}{Opposite}\$$
  

• $$\frac{Opposite}{Adjacent}$$

• $$\frac{Adjacent}{Hypotenuse}$$

• $$\frac{Opposite}{Hypotenuse}$$

Multiple Choice

Use the following triangle to find the ratio for sin (P) =

• $$\frac{5}{12}$$

• $$\frac{12}{13}$$

• $$\frac{12}{5}$$

• $$\frac{13}{5}$$

• $$\frac{13}{12}$$

Fill in the Blank

Use the triangle to find the ratio of cos (P) =

Multiple Choice

Use the following triangle to find the ratio for tan (O) =

• $$\frac{5}{12}$$

• $$\frac{12}{13}$$

• $$\frac{5}{13}$$   

• $$\frac{13}{5}$$

• $$\frac{13}{12}$$

Multiple Choice

What is the length of the side adjacent to angle Z?

• 16
• 30
• 34

Multiple Choice

What is the length of the side opposite angle X?

• 16
• 30
• 34

Multiple Choice

What is the length of the side opposite angle A?

• 30
• 40
• 50

Multiple Choice

What is the length of the side adjacent to angle C?

• 30
• 40
• 50

Multiple Choice

What is the length of the hypotenuse?

• 16
• 30
• 34

Multiple Choice

If you are given the opposite side and 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

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

• sine
• cosine
• tangent

Multiple Choice

What is the correct ratio?

• 6/10
• 6/8
• 8/10
• 8/6

Multiple Choice

What is the correct ratio?

• 6/10
• 6/8
• 8/10
• 8/6

Multiple Choice

In relation to the angle θ, label the side marked a in this right-angled triangle.

• Hypotenuse

• Adjacent

• Opposite

Multiple Choice

In relation to the angle θ, label the side marked b in this right-angled triangle.

• Hypotenuse

• Adjacent

• Opposite

Multiple Choice

In relation to the angle θ, label the side marked b in this right-angled triangle.

• Hypotenuse

• Adjacent

• Opposite

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• 27/36
• 27/45
• 45/36
• 45/27

Multiple Choice

• 14/48
• 48/50
• 14/50
• 48/14

Multiple Choice

• 12/37
• 37/35
• 12/35
• 35/37

Multiple Choice

• 15/25
• 4/5
• 3/5
• 20/15