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Learning Goal

‹7 of 10 in this skill_area›

Unit circle values (key angles)

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

F 704. Exhibit knowledge of unit circle trigonometry F 705. Match graphs of basic trigonometric functions with their equations F 706. Use trigonometric concepts and basic identities to solve problems G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths

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F 704. Exhibit knowledge of unit circle trigonometry
F 705. Match graphs of basic trigonometric functions with their equations
F 706. Use trigonometric concepts and basic identities to solve problems
G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths

What you'll learn

  1. Evaluate sine, cosine and tangent exactly at the key angles in all four quadrants, by combining the reference angle's magnitude with the quadrant's sign
  2. State that a point on the unit circle at angle $\theta$ has coordinates $(\cos\theta, \sin\theta)$, explain why from the right-triangle ratios with hypotenuse $1$, and use it to explain why angles past $90°$, such as $120°$, have trig values
  3. Determine the sign of sine, cosine and tangent in each of the four quadrants, from the coordinates and by ASTC
  4. Find the reference angle for an angle in Quadrant II, III or IV
  5. State the values of sine, cosine and tangent at the quadrantal angles $0°$, $90°$, $180°$ and $270°$, including the angles where tangent is undefined

Slides

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