Solving Trigonometric Equations Using Square Roots and Identities - Practice Test Full Solutions

Master the art of solving trigonometric equations using square roots, squaring techniques, and Pythagorean identities in this comprehensive 46-minute video tutorial. Work through a series of practice problems, starting with isolating trigonometric functions using the square root property, then progressing to more complex scenarios involving Pythagorean identities for substitutions. Learn step-by-step solutions for each problem, including unit circle approaches, finding general solutions, and checking for extraneous solutions. Gain proficiency in handling various trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant through detailed explanations and practical examples.

Problem #1 Isolating cos θ
Problem #1 Unit circle approach
Problem #1 Finding the general solution
Problem #2 Isolating tan θ
Problem #1 Unit circle approach
Problem #2 Finding the general solution
Problem #3 Isolating sin θ
Problem #3 Unit circle approach
Problem #3 Finding the general solution
Problem #4 Isolating cot θ
Problem #4 Unit circle approach
Problem #4 Finding the general solution
Problem #5 Using tan^2 x + 1 = sec^2 x
Problem #5 Isolating sec θ
Problem #5 Unit circle approach
Problem #5 Finding the general solution
Problem #6 Using sin^2 x + cos^2 x = 1
Problem #6 Isolating sin θ
Problem #6 Unit circle approach
Problem #6 Finding the general solution
Problem #7 Using 1 + cot^2 x = csc^2 x
Problem #7 Isolating csc θ
Problem #7 Unit circle approach
Problem #7 Finding the general solution
Problem #8 Using sin^2 x + cos^2 x = 1
Problem #8 Isolating sin θ
Problem #8 Unit circle approach
Problem #9 Using tan^2 x + 1 = sec^2 x
Problem #9 Isolating sec θ
Problem #9 Unit circle approach
Problem #9 Checking for extraneous solutions
Problem #9 Finding the general solution
Problem #10 Using 1 + cot^2 x = csc^2 x
Problem #10 Isolating csc θ
Problem #10 Unit circle approach
Problem #10 Checking for extraneous solutions
Problem #10 Finding the general solution