Inverse Trig Functions HOW TO FIND THE MISSING

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Inverse Trig Functions HOW TO FIND THE MISSING ANGLE SIN-1 COS-1 TAN-1

Inverse Trig Functions HOW TO FIND THE MISSING ANGLE SIN-1 COS-1 TAN-1

Ex 1: Find the sine, cosine, and tangent of M and K round to

Ex 1: Find the sine, cosine, and tangent of M and K round to 4 decimal places. M 13 5 N 12 K

Finding Angles of Triangles Trig functions give you ratios, which can be used to

Finding Angles of Triangles Trig functions give you ratios, which can be used to determine the degree measures of the acute angles of a right triangle. Using any inverse function on the calculator. M 13 5 N 12 Ex. Find <M and <K find <M use sin-1, cos-1 or tan-1 sin-1(. 9231) = 67. 4° K cos-1(. 3846) = 67. 4° tan-1(2. 4) = 67. 4°

Ex. 2 Find the angles to the nearest tenth. a) b) c) d) e)

Ex. 2 Find the angles to the nearest tenth. a) b) c) d) e) f) Cos B =. 5682 Sin C =. 4892 Tan A = 3. 6589 Sin K =. 6892 Cos J =. 1247 Tan P = 5. 2467 m<B = _____ m<C = _____ m<A = _____ m<K = _____ m<J = _____ m<P = _____

Ex 3: Find the measure of angle T. S 13 4 U x T

Ex 3: Find the measure of angle T. S 13 4 U x T

Ex 4: Find the measure of angles P and R. P 16 Q 34

Ex 4: Find the measure of angles P and R. P 16 Q 34 R

Ex 5: Find the measure of angles J and K. L 22 32 J

Ex 5: Find the measure of angles J and K. L 22 32 J K

Ex. 6: Find the measure of angles A and P. A 33 17 P

Ex. 6: Find the measure of angles A and P. A 33 17 P G

Ex. 7 Solve the right triangle. Round to nearest tenth. X 18 Y 21°

Ex. 7 Solve the right triangle. Round to nearest tenth. X 18 Y 21° Z

Ex. 8 Solve the right triangle. Round to nearest tenth. X 24 6 Y

Ex. 8 Solve the right triangle. Round to nearest tenth. X 24 6 Y Z

Ex. 9 Solve the right triangle. Round to nearest tenth. B 5. 3 31°

Ex. 9 Solve the right triangle. Round to nearest tenth. B 5. 3 31° C A

Ex. 10 Solve the right triangle. Round to nearest tenth. K 32 J 48

Ex. 10 Solve the right triangle. Round to nearest tenth. K 32 J 48 L

Ex. 11 Solve the right triangle. Round to nearest tenth. S 8 R 22.

Ex. 11 Solve the right triangle. Round to nearest tenth. S 8 R 22. 7° T

Ex. 12 Ramp You are designing a ramp where the horizontal distance is triple

Ex. 12 Ramp You are designing a ramp where the horizontal distance is triple the vertical rise. What will be the ramp angle to the nearest tenth of a degree?

Homework Worksheet

Homework Worksheet