Trigonometric Identities and Simplifications

The video tutorial covers various trigonometric identities and their verification. It begins with an introduction to trig identities, followed by step-by-step verification of identities using Pythagorean identities. The tutorial also addresses factoring problems and co-function identities, emphasizing the importance of understanding each step. Finally, it demonstrates solving trigonometric equations and finding positions on the unit circle, providing a comprehensive guide to preparing for a test on trigonometric identities.

What is the result of simplifying cosine squared minus tangent squared using Pythagorean identities?

• One

• Sine

• Cosine

• Zero

How can you express 1 over secant in terms of basic trigonometric functions?

• Cotangent

• Tangent

• Cosine

• Sine

When simplifying sine theta over cosecant theta, what identity is used?

• Co-function identity

• Even-odd identity

• Pythagorean identity

• Reciprocal identity

What is the result of sine squared plus cosine squared?

• Zero

• One

• Sine

• Cosine

How do you simplify a complex fraction involving cotangent?

• Multiply by the reciprocal

• Divide by the numerator

• Subtract the fractions

• Add the fractions

What is the result of factoring secant to the fourth X minus two secant squared X plus one?

• Secant to the fourth

• Tangent squared

• Secant squared

• Tangent to the fourth

What is the simplified form of negative tangent of X times cosine of X?

• Cosine X

• Sine X

• Negative cosine X

• Negative sine X

What is the first step in solving 2 times cosine squared X minus 1 equals 0?

• Divide both sides by two

• Multiply both sides by two

• Subtract one from both sides

• Add one to both sides

What is the result of rationalizing the square root of 2 over 2?

• Square root of 2

• 1

• Square root of 2 over 2

• 2

How many positions on the unit circle correspond to cosine X being plus or minus square root of 2 over 2?

• Two

• Three

• Four

• Five