Use cofunction identities and trig identities to find the indicated trig functions

The video tutorial explains cofunction identities, focusing on the relationship between tangent and cotangent. It introduces the concept, discusses the mathematical relationships, and demonstrates how to apply these identities to solve problems. The tutorial aims to clarify the use of cofunction identities in trigonometry, specifically how tangent and cotangent are related through complementary angles.

What is the purpose of cofunction identities in trigonometry?

• To solve algebraic equations

• To relate trigonometric functions of complementary angles

• To calculate the area of a triangle

• To find the derivative of a function

Which of the following is a correct cofunction identity?

• sin(θ) = cos(90° - θ)

• tan(θ) = sin(90° - θ)

• cos(θ) = tan(90° - θ)

• cot(θ) = sin(90° - θ)

If cotangent of an angle is given, how can you express it using tangent?

• cot(θ) = sin(90° - θ)

• cot(θ) = tan(90° + θ)

• cot(θ) = cos(90° - θ)

• cot(θ) = tan(90° - θ)

What is the tangent of an angle if the cotangent of its complement is known?

• It is equal to the tangent of the angle

• It is equal to the sine of the angle

• It is equal to the cotangent of the angle

• It is equal to the cosine of the angle

In the given problem, what is the value of tangent of θ if cotangent of (90° - θ) is 2√6?

• √6

• 6

• 2√6

• 2√3