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L4.6 - Working with Trigonometric Ratios

Learning Intentions and Success Criteria

We are learning to:
  • Calculate side lengths in right triangles using cosine, sine, and tangent (using words and other representations)
We are successful when we can:
  • Use cosine, sine, and tangent to find side lengths of right triangles

6.1: This Time with Strategies

6.1: This Time with Strategies

Estimate the value of z.

Right Triangles Ratios Table

Right Triangles Ratios Table

6.2: New Names, Same Ratios

6.2: New Names, Same Ratios

1. Use your calculator to determine the values of cos(50), sin(50), and tan(50).

2. Use your calculator to determine the values of cos(40), sin(40), and tan(40).

3. How do these values compare to your chart?

4. Find the value of z.

6.3: Solve These Triangles

6.3: Solve These Triangles

1. Solve for x.

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2. Solve for y.

3. Find all the missing sides and angle measures.

a. The measure of angle X is 90 degrees and angle Y is 12 degrees. Side XY has length 2 cm.

a.

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b.

c. The measure of angle K is 90 degrees and angle L is 71 degrees. Side LM has length 20 cm.

c.

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Learning Intentions and Success Criteria

We are learning to:
  • Calculate side lengths in right triangles using cosine, sine, and tangent (using words and other representations)
We are successful when we can:
  • Use cosine, sine, and tangent to find side lengths of right triangles
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Side KL

Side LM

Angle L

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