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# Category Archives: Unit Circle

## Complex Number Trigonometric Form Representation problem example

Express the following Complex Numbers in Trigonometric Form:

-12

-8i

2 – 2i Solution to this Complex Number Trigonometric Form Representation practice problem is provided in the video below!

## Trigonometric Complex Number Product Quotient Power Rectangular Standard Form Representation example question

Find the resulting Complex Number in standard (rectangular) form for the following:  Solution to this Trigonometric Complex Number Product Quotient Power Rectangular Standard Form Representation practice problem is provided in the video below!

## Square Roots of a Complex Number example

Find the two Square Roots of Solution to this Square Roots of a Complex Number practice problem is provided in the video below!

## Complex Number Rectangular POLAR Form Conversion example problem

Express the following POLAR Complex Number in Trigonometric and Rectangular Form: Express the following Rectangular Complex Number in Trigonometric Form and POLAR Form:

5i

Solution to this Complex Number Polar Rectangular Form Conversion practice problem is provided in the video below!

## Complex Number POLAR Product Quotient Power example question

Find the resulting Complex Number in POLAR form for the following:

a) b) Find the resulting Complex Number in POLAR and RECTANGULAR (standard) form: Solution to this Complex Number Polar Product Quotient Power practice problem is provided in the video below!

## POLAR Complex Number Nth Root Theorem example

Find the Four 4th (Fourth) Roots of Solution to this Polar Complex Number Nth Root Theorem practice problem is provided in the video below!

## Find ANY Known Trigonometric Value by Hand example question

How do you find the values like or or ?

There is a way to use the Unit Circle information and fill out your own Table of Values fast!

All you need is to start with sine function values in the interval [0, ]

Watch the video below with a detailed tutorial and start being a pro at this!

Solution to this Basic Trigonometric Function Values practice problem is provided in the video below!

## Finding Trigonometric Values Using Reference Angles example question

Find the value of the following Trigonometric Expressions using appropriate Reference Angles:

a) sin(120º)

b) c) tan(-45º)

d) e) sec(240º)

f) Solution to this Reference Angle practice problem is provided in the video below!

## Find All Six Trigonometric Functions using Rectangular Coordinates or given Angle example question

a) If t is a point on the unit circle with coordinates , find the six Trigonometric Functions of t

b) Find the six Trigonometric Functions of Solution to this Trigonometric Function practice problem is provided in the video below!