Download 5.3A Solving Trig Equations

Trig./Pre-Calc.
5.3A Solving Trigonometric Equations


b) cos x = 
2
2
Example #1: Find all the solutions of the equation in the interval 0  , 360  .
a) sin x =
1
2
c) tan x = 1
Example #2 Find all solutions of the equation in the interval 0, 2 
a) cot x = -1
b) csc x = -2
Example #3 Solve the equation.
a) 2 sin x  1  0
c) sin2x = 3cos2x
5.3A Assignment: Pg. 376 #8-34 even
b) 3 csc2x – 4 = 0
Example #5: Factoring an Equation of Quadratic Type
Find all solutions of 2 sin 2 x  sin x  1  0 in the interval 0, 2  .
Example #6: Writing in Terms of a Single Trigonometric Function
2 sin 2 x  3 cos x  3  0
Example #7: Squaring and Converting to Quadratic Type
Find all solutions of cos x  1  sin x in the interval 0, 2  .
Example #8: Functions of Multiple Angles
Find all solutions of 2 cos 3t – 1 = 0.
Example #9: Functions of Multiple Angles
Find all solutions of 3 tan
x
3 0.
2
Example #10: Using Inverse Function
Find all solutions of sec 2 x  2 tan x  4 .
Assignments 5.3A Page 364 (8 – 30 Even)
5.3B Pages 364 (32-46 Evens, 52-60 Evens)