325x Filetype PDF File size 0.07 MB Source: www.npsd.k12.nj.us
Lesson 5.3
Solving
Trigonometric Equations
Solving
Trigonometric Equations
To solve trigonometric equations:
Use standard algebraic techniques learned in Algebra II.
Look for factoring and collecting like terms.
Isolate the trig function in the equation.
Use the inverse trig functions to assist in determining
solutions.
Solving
Trigonometric Equations
For all problems,
The solution interval
Will be
[0, 2π)
You are responsible for checking your solutions back into the original problem!
Solving
Trigonometric Equations
Solve: 2cosx−1=0
Step 1: Isosolate cos x using algebraic skills.
2cosx=1
cosx= 12
Step 2: Determine in which quadrants cosine is positive. Use the inverse
function to assist by finding the angle in Quad I first. Then use that angle
as the reference angle for the other quadrant(s).
QI QIV Note: cosine is positive in
π 5π Quad I and Quad IV.
x = , Note: The reference angle is π/3.
33
no reviews yet
Please Login to review.