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Trigonometric ratios (SOH-CAH-TOA)

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

G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths G 604. Apply basic trigonometric ratios to solve right-triangle problems G 603. Apply properties of 30°-60°-90°, 45°-45°-90°, similar, and congruent triangles G 602. Use the Pythagorean theorem

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G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths
G 604. Apply basic trigonometric ratios to solve right-triangle problems
G 603. Apply properties of 30°-60°-90°, 45°-45°-90°, similar, and congruent triangles
G 602. Use the Pythagorean theorem

What you'll learn

  1. Label the hypotenuse, the opposite side and the adjacent side relative to a specified acute angle in a right triangle, and relabel them when the specified angle changes
  2. Write sin, cos and tan of a specified angle as a ratio of given side lengths, reduced to lowest terms
  3. Find a missing side using the Pythagorean theorem in order to write a requested ratio
  4. Explain why a trig ratio depends only on the angle and not on the size of the triangle, using similar triangles
  5. State the exact values of sin, cos and tan at 30, 45 and 60 degrees by reading them off the two special triangles, in rationalized form

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