Using multiple identities to simplify a trigonometric expression

The video tutorial covers algebraic simplification using the FOIL method, introduces Pythagorean identities, and explores trigonometric functions. It emphasizes the importance of recognizing squared trigonometric functions and their identities. The instructor also discusses quotient identities and the unit circle, correcting mistakes along the way to simplify expressions effectively.

What algebraic operation is used to simplify the expression X + 1 * X - 1?

• FOIL method

• Quadratic formula

• Completing the square

• Substitution

Which identity is used when you see a trigonometric function squared?

• Quotient identity

• Sum and difference identity

• Reciprocal identity

• Pythagorean identity

What is the Pythagorean identity involving secant and cotangent?

• 1 + sine squared = cosine squared

• 1 + cosine squared = sine squared

• 1 + tangent squared = secant squared

• 1 + cotangent squared = secant squared

How is cotangent expressed in terms of cosine and sine?

• Sine over cosine

• Cosine over sine

• Tangent over sine

• Sine over tangent

What trigonometric function is represented by X/Y on the unit circle?

• Tangent

• Cosine

• Cotangent

• Sine

What is the correct relationship between tangent and secant?

• Tangent = secant

• Tangent squared = secant squared + 1

• Tangent = secant squared

• Tangent squared = secant squared - 1

What is the result of simplifying sine squared over cosine squared?

• Tangent squared

• Cotangent squared

• Secant squared

• Cosecant squared