Solving Trig Equations

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Presentation transcript:

Solving Trig Equations Lesson 5-5: Solving Trig Equations VOCABULARY Inverse trig functions Arcsine Arccosine Arctangent LEQ - How do you solve for missing angles of right triangles?

Can you find the missing pieces…. 4 B C 3

What are the signs of the trig functions in each quadrant?

INVERSE TRIG FUNCTIONS SOLVE FOR ANGLES Each of the problems before can be rewritten as an inverse: INVERSE TRIG FUNCTIONS SOLVE FOR ANGLES FUNCTION INVERSE sin(x) sin-1(x) or arcsin(x) cos(x) cos-1(x) or arccos(x) tan(x) tan-1(x) or arctan(x)

Assume all angles are in QI.

10 Solve for x: x 8

Solve for x: 6 x 7

TOTD…. On a slip of paper, draw a right triangle with some given lengths or angle measures. Label at least 2 unknowns on the triangle (angles or sides.) Now swap papers with your neighbor for them to solve the missing pieces SHOWING THE TRIG FUNCTION USED!!

5-4 / 5-5 Practice Review Problems