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8.4 Trigonometry- Part II Inverse Trigonometric Ratios *To find the measure of angles if you know the sine, cosine, or tangent of an angle. *Use inverse.

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Presentation on theme: "8.4 Trigonometry- Part II Inverse Trigonometric Ratios *To find the measure of angles if you know the sine, cosine, or tangent of an angle. *Use inverse."— Presentation transcript:

1 8.4 Trigonometry- Part II Inverse Trigonometric Ratios *To find the measure of angles if you know the sine, cosine, or tangent of an angle. *Use inverse trigonometric ratio to find the angle between the ladder and the wall.

2 Inverse Trigonometric Functions

3 Example 4: Find Angle Measures Using Inverse Trigonometric Ratios
Use a calculator to find the measure of T to nearest tenth. a. b.

4 Example 4: Find Angle Measures Using Inverse Trigonometric Ratios
Use a calculator to find the measure of T to nearest tenth. c.

5 Solving a Right Triangle
*Using the given measures of sides and angles, you can find the missing measures of the sides and angles. *Need to know: two sides lengths or one side length and measure of one acute angle. We could solve this right triangle to find mG, mD, and length of GO.

6 Example 5: Solve a Right Triangle
Round side measures to the nearest tenth and angle measures to the nearest degree. mG mD GO

7 Example 5: Solve a Right Triangle
Round side measures to the nearest tenth and angle measures to the nearest degree. mB AB BC

8 Trigonometry Word Problems
a. Ski Lift A chair lift on a ski slope makes an angle with the ground that is 28 and covers a total distance of 4640 feet. To the nearest foot, what is the vertical height h covered by the chair lift?

9 Trigonometry Word Problems
b. Drive-In Movie You are 50 feet from the screen at a drive-in movie. Your eye is one the horizontal line with the bottom of the screen and the angle of your line of sight to the top of the screen is 58. How tall is the screen?

10 8.4 Trigonometry Part II p #36-46 all, evens, 62, evens, evens


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