Problem 1 Finding Tangents Geometrically
What is the value of each expression? Do not use a calculator.
-
tan π
Think
Will a graph help?
Yes; use a graph of the unit circle to visualize the problem.
An angle of π radians in standard position has a terminal side that intersects the unit circle at the point
-
An angle of
✓ Got It?
- What is the value of each expression? Do not use a calculator.
-
There is another way to geometrically define tan θ.
The diagram shows the unit circle and the vertical line
By similar triangles, the length of the vertical red segment divided by the length of the horizontal red segment is equal to
If θ is an angle in standard position and not an odd multiple of
The graph below shows one cycle of the tangent function,
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions