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Learning Goal

‹3 of 10 in this skill_area›

Solving right triangles with trig ratios

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

G 604. Apply basic trigonometric ratios to solve right-triangle problems G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths 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 604. Apply basic trigonometric ratios to solve right-triangle problems
G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths
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. Solve a right triangle for an unknown side or acute angle using sine, cosine or tangent
  2. Choose which of sine, cosine or tangent to use, given which two of opposite, adjacent and hypotenuse the problem involves
  3. Solve for an unknown side whether the variable sits in the numerator or the denominator of the ratio
  4. Use an inverse trig function to find an unknown acute angle from two known sides, distinguishing $\tan^{-1}$ from $\frac{1}{\tan}$
  5. Translate an angle-of-elevation or angle-of-depression description into a labelled right triangle and solve it

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