151x 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.