Inverse Trig Functions HOW TO FIND THE MISSING

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 4 decimal places. M 13 5 N 12 K

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) 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 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 K

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° Z

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° C A

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. 7° T

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?

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