Solving Trigonometric Equations Using Factoring Practice Test Full Solutions

This practice test provides step-by-step solutions for basic trigonometric equations solved by factoring. It also explains how dividing by a trigonometric function can remove valid solutions and uses the unit circle to identify answers.

Syllabus

Problem #1 Our equation is quadratic in form
Problem #1 Factoring and using the square-root property
Problem #1 Using the unit circle
Problem #2 Factoring and using the zero-product property
Problem #2 Using the unit circle
Problem #2 Missing solutions from dividing both sides by cos x
Problem #3 Factoring and using the zero-product property
Problem #3 Using the unit circle
Problem #4 Factoring and using the zero-product property
Problem #4 Using the unit circle
Problem #5 Factoring and using the zero-product property
Problem #5 Explaining why csc x = 0 has no solution
Problem #5 Isolating tan x
Problem #5 Using the unit circle
Problem #6 Factoring and using the zero-product property
Problem #6 Explaining why sec x = 0 has no solution
Problem #6 Isolating tan x
Problem #6 Using the unit circle
Problem #7 Factoring and using the square-root property
Problem #7 Using the unit circle
Problem #8 Factoring and using the zero-product property
Problem #8 Using the unit circle
Problem #9 Factoring and using the zero-product property
Problem #9 Using the unit circle
Problem #10 Factoring and using the zero-product property
Problem #10 Using the unit circle