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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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. http://www.mathsisfun.com/algebra/images/trig-ladder.gif

Inverse Trigonometric Functions

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

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

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.

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 http://www.ck12.org/flx/show/image/201205241337896034704795_f49859f4069be7413b3fc447addb8e70.jpg

Example 5: Solve a Right Triangle Round side measures to the nearest tenth and angle measures to the nearest degree. mB AB BC http://www.ck12.org/flx/show/image/user%3Ack12editor/201209181347994872853882_dd9e1bbdd6b5642d21d9c9ee02302bde-201209181347995098683839.jpg

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?

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?

8.4 Trigonometry Part II p. 574-577 #36-46 all, 50-58 evens, 62, 66-70 evens, 74-80 evens