solving trig equations.notebook
March 25, 2014
Unit 6: Solving Trig Functions
Tips for Solving Trig Equations:
• Solve by getting all numbers to one side
• Change to all one function
• Set problem equal to zero (if it is quadratic)
• Factor
solving trig equations.notebook
Quiz: Solving Trig Equations
1) 2sinx - 1 = 0
2) sin2x - 3sinx + 2 = 0
March 25, 2014
solving trig equations.notebook
3) tan 2x =√3 tanx
1
4) cos x = 2
2
March 25, 2014
solving trig equations.notebook
5) 2cos2 x = sinx + 1
6) 3sec2 - 4 = 0
March 25, 2014
solving trig equations.notebook
March 25, 2014
7) cos(2x) = sinx
8) sin(2x) = cosx
10) csc2 - 2 = 0
9) cosx - 2cosxsinx = 0
11) sin2 x + cos2 x = tanx
solving trig equations.notebook
March 25, 2014
Homework:
Solve each equation on the interval [ 0,2pi )
1) 2cosθ + 1 = 0
2) 3cot2θ - 1 = 0
3)4cos2θ=1
4) sec2x - 2 = 0
5) 2sin2x + sinx - 1 = 0
7) 3tan 3x = tanx
6) cosxsinx - 2cosx = 0