5.2.6 If You Sine, I will Cosine

Multiple Choice

Which angle in the triangle is opposite the side labeled x?

• ∠A

• ∠B

• ∠C

Match

Match the ratio to the correct trig expression.

• tanA

• tanC

• sinA

• sinC

4/3

3/4

4/5

3/5

• 4/3

• 3/4

• 4/5

• 3/5

Labeling

To find the cosine of the angle marked "w" in the figure, begin by labeling the sides of the triangle

Drag labels to their correct position on the image

Opposite

Adjacent

Hypotenuse

Multiple Choice

What is the cosine of the angle marked "w"?

• √85/11

• 6/11

• 11/√85

• √85/6

Multiple Choice

cos(F) = ___ in the triangle EFG.

Remember to reduce!

• 5/8
• 8/5

• √39/8

• √39/5

​We will answer on the next screen!

Multiple Choice

If the marked angles are congruent, what is the length of the side labeled x?

• 2

• 8

• 6

• 4

Labeling

Place the label in the correct spot to find the values.

Drag labels to their correct position on the image

Same as sinC

Same as sinA

12/13

5/13

Fill in the Blanks

Notice the sin of C is the same as the cos

.

Multiple Choice

In ΔJKL, which expression has the same value as cos L?

• cos J

• sin J

• tan J

• sin L

Reorder

Sort the following cosine values from smallest to largest.

• cos(70°)

• cos(57°)

• cos(36°)

• cos(20°)

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

Which of the following is the correct length of the yellow tow rope, using cosine?

• 101.1 feet

• 95.0 feet

• 91.7 feet

• 96.2 feet

Multiple Select

Select all equations that correctly represent the trigonometric ratios shown in the SOH-CAH-TOA diagram.

• sinA = opposite/hypotenuse

• cosA = adjacent/hypotenuse

• tanA = opposite/adjacent

• cosA = opposite/adjacent

Multiple Select

Which trigonometric ratios could be used to find the length of the side adjacent to a given angle in a right triangle?

• Sine

• Cosine

• Tangent

• Secant

Match

Match the following trigonometric ratios to their equations: sine, cosine, tangent.

• opposite/hypotenuse

• adjacent/hypotenuse

• opposite/adjacent

Sine

Cosine

Tangent

• Sine

• Cosine

• Tangent

Multiple Choice

In triangle DEF, the value of cos D is ___

• 1/3
• 3

• √2/4

• 2√2/3

Multiple Choice

In ΔABC and ΔDEF, ∠B and ∠E are the same size. What is the value of x?

• 7

• 5

• 6

• 8

Multiple Choice

Which ratio should be used to solve for x given this triangle?

• cos(50°) = 15/x

• cos(40°) = 15/x

• cos(40°) = x/15

• cos(50°) = x/15

Multiple Choice

To the nearest tenth, what is the length of the shorter leg of the right triangle?

• 4.1

• 3.8

• 4.5

• 3.2

Math Response

A soccer player is about to take a penalty shot. He is hoping to place the ball in the top left corner of the goal which is a 16 degree angle measured from the ground.

Set up a cosine ratio that can be used to find the distance the ball must travel to get to the top corner of the goal.

Type answer here

Correct Answer: \cos16=\frac{25}{x}

Deg^°

Rad

Fill in the Blanks

Solve your ratio from the last question to find the distance (to the nearest tenth of a foot) the ball needs to travel to get to the goal.

Open Ended

If the goalie is able to save anything that is 6 feet or below in height, will the ball go in the goal or be saved by the goalie? (Use Pythagorean Theorem)