Calculating Trigonometric Ratios

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Objective

I can calculate the values of trigonometric ratios for angles in standard position.

Part 1 of 4

Warm-up video

Professor Dave Explains · 9:48Vetted channel

We don't generate video — this one is by Professor Dave Explains 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 4

Key concepts

3 concepts

  1. 1

    The unit circle is a circle with a radius of one superimposed on the coordinate plane, centered at the origin.

  2. 2

    Every point on the unit circle has an x-coordinate equal to cosine θ and a y-coordinate equal to sine θ.

  3. 3

    The numerical sequence to remember for sine and cosine values in the first quadrant is √0/2, √1/2, √2/2, √3/2, √4/2.

Part 3 of 4

Practice

8 questions

1

What are the coordinates of the point on the unit circle that corresponds to an angle of π radians?

2

On the unit circle, which coordinate corresponds to the cosine of an angle?

Part 4 of 4

Exit ticket

Quick comprehension check

What are the sine and cosine values for the angle 5π/6 on the unit circle?

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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