Verify 3 Basic Trigonometric Identities

The video tutorial covers the verification of basic trigonometric identities, emphasizing the importance of understanding and practicing these identities. It explains strategies for simplifying expressions, using cofunction and reciprocal identities, and applying algebraic operations. The tutorial provides examples to illustrate these concepts, helping students recognize patterns and apply appropriate identities to solve problems.

What is the primary goal when verifying a trigonometric identity?

• To solve for the variable

• To integrate the function

• To make both sides of the equation look identical

• To find the derivative of the function

Which identity is useful when dealing with a trigonometric function of a negative variable?

• Quotient identity

• Pythagorean identity

• Reciprocal identity

• Even-odd identity

What is the quotient identity for cotangent?

• cot(x) = 1/tan(x)

• cot(x) = sin(x)/cos(x)

• cot(x) = cos(x)/sin(x)

• cot(x) = 1/sin(x)

How can the product of a trigonometric function and its reciprocal be simplified?

• It equals one

• It equals the original function

• It equals the reciprocal function

• It equals zero

What is the cofunction identity for sec(π/2 - α)?

• cosec(α)

• tan(α)

• sin(α)

• cos(α)

Which property allows you to distribute a divisor across terms in a numerator?

• Distributive property

• Commutative property

• Identity property

• Associative property

What is the result of dividing sine by cosine?

• Cosecant

• Secant

• Tangent

• Cotangent