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MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of.

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Presentation on theme: "MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of."— Presentation transcript:

1 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. 1. Use the quadratic formula to solve the equation x 2 + 5x - 1 = 0. A. B. C. D. 2.Factor: 4x 2 – 49 A. (2x + 7)(2x - 7)C.(4x – 7)(x + 7) B. (2x – 7)(2x - 7)D.(4x + 7)(x – 7) A.

2 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. How do you solve right triangles? Tuesday, May 05, 2015 Lesson 5.4 Day 54

3 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. Every right triangle has one right angle, two acute angles, one hypotenuse, and two legs. To SOLVE A RIGHT TRIANGLE means to find all 6 parts.

4 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. 1. Solve the right triangle. Round to the nearest tenth. 37°

5 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. Solving Right Triangles 2. Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree. By the Pythagorean Theorem, Since the acute angles of a right triangle are complementary, mT  90° – 29°  61°. RT 2 = RS 2 + ST 2 (5.7) 2 = ST 2

6 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. 3. Solve the right triangle. Round decimals the nearest tenth. Use Pythagorean Theorem to find AB. 3.6 Use an inverse trig function to find a missing acute angle… Use Triangle Sum Theorem to find the other acute angle… 56.3° 33.7°

7 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. 4. The Washington Monument is 555 feet high. A person in the top of the monument can see Mr. Zittrouer and calculates the angle of depression to be 55 o. How far is Mr. Zittrouer from the base of the monument? 55 o 555 ft g 55 o 555 g 55 o

8 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. 5. Solve the right triangle. Round decimals to the nearest tenth.

9 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. 6. Solve the right triangle. Round decimals to the nearest tenth.

10 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios.  Assignment: ◦ Pg 174 (#7 – 14.)

11 MM2G2 Students will define and apply sine, cosine, and tangent ratio to right triangles. MM2G2b Explain the relationship of the trigonometric ratios of complementary angles. MM2G2c Solve application problems using the trigonometric ratios. Ladder Problems


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