Using trig limits to evaluate the limit

The video tutorial explains the concept of tangent in trigonometry, showing how it can be expressed as a fraction of sine and cosine. The teacher demonstrates simplifying this fraction by multiplying by the reciprocal and evaluates the limit as x approaches 0. The tutorial concludes with a reminder of the unit circle and the transformation of trigonometric functions.

How can tangent be expressed in terms of sine and cosine?

• Tangent is cosine over sine

• Tangent is cosine minus sine

• Tangent is sine over cosine

• Tangent is sine times cosine

What is the first step in simplifying a fraction divided by another fraction?

• Add the fractions

• Subtract the fractions

• Divide by the reciprocal

• Multiply by the reciprocal

What happens to the expression sine of x over x as x approaches zero?

• It approaches infinity

• It approaches zero

• It approaches one

• It remains constant

What is the value of cosine at an angle of zero?

• One

• Zero

• Negative one

• Undefined

What is the final value of the limit of the expression as x approaches zero?

• Infinity

• Zero

• Negative one

• One