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

The video tutorial explains how to find the tangent of 60 degrees using known values of sine and cosine. It begins by stating the given values for sine and cosine of 60 degrees, then demonstrates how to use trigonometric identities to relate tangent to these values. The tutorial provides a detailed step-by-step simplification process to calculate the tangent, concluding with the final result of sqrt 3.

What is the given value for the cosine of 60 degrees?

• 1/2

• 0

• sqrt 3 / 2

• 1

How is the tangent of an angle related to its sine and cosine?

• Tangent is the difference between sine and cosine

• Tangent is the product of sine and cosine

• Tangent is the sum of sine and cosine

• Tangent is the ratio of sine to cosine

Which trigonometric identity is used to find the tangent of an angle?

• Tangent equals sine times cosine

• Tangent equals cosine over sine

• Tangent equals sine minus cosine

• Tangent equals sine over cosine

What is the first step in simplifying a fraction with a fraction as the denominator?

• Multiply by the reciprocal of the denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

What is the final simplified value of the tangent of 60 degrees?

• 1/2

• sqrt 3

• 1

• 2