Trigonometric Ratios

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Objective

I can define sine, cosine, and tangent using the unit circle and apply them to solve problems involving right triangles.

Part 1 of 3

Warm-up video

Khan Academy · 9:17Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define the sine, cosine, and tangent functions in terms of a right triangle and explain the significance of the opposite, adjacent, and hypotenuse sides.

2

Using the triangle with sides of lengths 3, 4, and 5, calculate the sine, cosine, and tangent of the angle opposite the side of length 3.

Part 3 of 3

Exit ticket

Quick comprehension check

A right triangle has an angle θ such that the length of the opposite side is 6 and the length of the hypotenuse is 10. Calculate the sine, cosine, and tangent of angle θ. Show all work. In a right triangle, one angle measures 45 degrees, and the length of the hypotenuse is 8. Determine the lengths of the opposite and adjacent sides using trigonometric ratios. Show all work.

Sample answer included in the free materials

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