Solving Trigonometric Equations Using Factoring Practice Test Full Solutions

Dive into a comprehensive 43-minute video tutorial that provides step-by-step solutions for solving basic trigonometric equations using factoring. Learn to tackle equations that are quadratic in form, apply the square-root and zero-product properties, and utilize the unit circle for finding solutions. Understand why dividing both sides by a trigonometric function can lead to missing solutions. Practice with ten diverse problems, covering various trigonometric functions including sine, cosine, tangent, cosecant, and secant. Gain insights into special cases where certain trigonometric equations have no solutions. Perfect for students looking to strengthen their skills in trigonometry and equation solving.

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