Trigonometric Form of Complex Numbers problems
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!
Vector word problems
Horizontal and Vertical Components of a Force Vector problem example
A force of 46.3 pounds is applied at an angle of 34.8º to the horizontal. Resolve the force into horizontal and vertical components.
Solution to this Horizontal Vertical Components of a Force Vector word practice problem is provided in the video below!
HARD Parallel Perpendicular Weight Vector Components to Surface word problem
A weight of 75 pounds is resting on a surface inclined at an angle of 25º to the ground. Find the components of the weight parallel and perpendicular to the surface.
Solution to this Parallel Perpendicular Weight Vector Components word practice problem is provided in the video below!
VERY HARD Resultant Force Vector example question
Find the resultant of two forces, one with magnitude 155 pounds and direction N50ºW, and a second with magnitude 305 pounds and direction S55ºW.
Solution to this Resultant Force Vector word practice problem is provided in the video below!
Plane Wind vector example problem
An airplane has an airspeed of 430 miles per hour at a bearing of E45ºS (45 degrees South of East). The wind velocity is 35 miles per hour in the direction of N30ºE (30 degrees East of North). Find the ground speed and true course of the plane using vectors.
Solution to this Plane Wind vector word practice problem is provided in the video below!
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