How can tangent be expressed in terms of sine and cosine?
Using trig limits to evaluate the limit
Interactive Video
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Quizizz Content
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Mathematics, Science
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11th Grade - University
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Hard
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.
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Tangent is cosine over sine
Tangent is cosine minus sine
Tangent is sine over cosine
Tangent is sine times cosine
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of cosine at an angle of zero?
One
Zero
Negative one
Undefined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final value of the limit of the expression as x approaches zero?
Infinity
Zero
Negative one
One
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