Trigonometric Identities Quiz

What is the Pythagorean identity for sine and cosine?

• sin²θ + cos²θ = 1

• sinθ = 1/cscθ

• tanθ = 1/cotθ

• 1 + tan²θ = sec²θ

What is the reciprocal identity for sine?

• sinθ = 1/cscθ

• sinθ = 1/secθ

• sinθ = 1/tanθ

• sinθ = 1/cotθ

What is the reciprocal identity for cosine?

• cosθ = 1/secθ

• cosθ = 1/cscθ

• cosθ = 1/tanθ

• cosθ = 1/cotθ

• \(\sin(\theta)\)

• \(\tan(\theta)\)

• Pythagorean Identity

• Reciprocal Identity

• Quotient Identity

• Sum Identity

What is the purpose of proving a trigonometric identity?

• To find the value of an unknown variable

• To demonstrate that the left and right sides of an equation are equal

• To solve an equation for a specific solution

• To graph a trigonometric function

When proving a trigonometric identity, what is the recommended approach?

• Apply operations to both sides simultaneously

• Work with one side at a time

• Use a calculator to verify the identity

• Guess the solution

In the example provided, what is the identity that needs to be verified?

What is a suggested step when the left side of an identity involves a fraction and the right side does not?

• Add more terms to the fraction

• Reduce the fraction

• Ignore the fraction

• Multiply both sides by the fraction