Today – Monday, March 4, 2013  Warm Up: Which method to use to solve missing angles or sides of a right triangle  Review: Using inverse trig to find.

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Presentation transcript:

Today – Monday, March 4, 2013  Warm Up: Which method to use to solve missing angles or sides of a right triangle  Review: Using inverse trig to find missing angles  Learning Target : Review solving for missing sides of right triangles using special triangles and trigonometry  QUIZ: Trigonometry and special right triangles  Independent Practice

WARM UP: Decide which method would you use to find the missing sides of the right triangle (Pythagorean Theorem, Special Right Triangles, or Trig), then find the missing sides.

METHOD TO FIND TRIG ANGLES: 1. Find the opposite, adjacent and hypotenuse of your right triangle. 2. Use the trig function that contains the sides of your triangle. 3. Use the inverse trig function to calculate the angle.

PRACTICE: Find angle x using inverse trigonometric functions. Round your answer to the nearest hundredth.

There are multiple ways to solve this problem, you may choose any trig function because all sides are given!

Inverse Trig Practice 15 minutes We will check answers as a class.

METHOD TO FIND MISSING SIDES USING SPECIAL TRIANGLES: 1. Determine which special triangle right triangle is shown-one angle will always be given. 2. Determine whether sides of the triangle that is given, is a leg (short or long or equal) or a hypotenuse. 3. Use given information from special triangle to plug into given equations, then solve for missing side.

PRACTICE: Find the value of x. Write your answer in the simplest radical form.

PRACTICE: Find the value of x and y. Write your answer in simplest radical form.

PRACTICE: Find the value of x. Write your answer in the simplest radical form.

TRIGONOMETRIC RATIOS:

METHOD TO FIND MISSING SIDES USING TRIGONOMETRY: 1. Find the opposite, adjacent and hypotenuse of your right triangle. 2. Use the trig function that contains the sides of your triangle to set up your equation. 3. Solve for x, then use your calculator to evaluate for the missing side.

PRACTICE: Find x using the tangent ratio. Round answer to the nearest tenth.

PRACTICE: Find x using the cosine ratio. Round answer to the nearest tenth.

PRACTICE: Find x and y using the tangent ratio. Round answer to the nearest tenth.

HOMEWORK: If finished, work on other assignments: HW #1: Pg. 436: 3-29 odd HW #2: Pg. 444: 1-6, 8, 10, 12 HW #3: Pg. 461: 3-18 HW #4: 7.4 Special Triangles WS (Kuta) HW #5: Pg. 470: 18-20, 24-29, 31, 32 Pg. 477: 10-15, HW #6: Pg. 485: 3-8, 10-18