Multiplication of Complex Numbers

Find the product. Write the product in rectangular form, using exact values. [8 cis 210°] [6 cis 330°1] Which is the correct answer? a) 24i b) -12 + 12 x square root of 3i c) -48 d) 12 x square root of (3 + 12i)

Identify the graph of the given polar equation.

Inspect the four given graphs, which are plotted in polar coordinates (and shown in an attached .doc file), and choose the graph that corresponds to the polar equation r = 6 - (cos theta).

Trigonometry : Rectangular Form

Find the following quotient, and write the quotient in rectangular form, using exact values. Angles are in degrees √3(cos 315 + i sin 315)/√6(cos 45 + i sin 45) Which is the correct answer? - √2/2 - √2i/2 √2/2 + √2i/2 - √2i/2 √2/2

Complex Number Equation

Solve the equation for x and y. 3x + yi = 7 - 11i Which is the correct answer? x = 3, y = -11 x = 7, y = -11 x = 3/7, y = -11 x = 7/3, y = -11

Complex Number in Trigonometric Form

Write the complex number in trigonometric form r(cos θ + i sin θ ), with θ in the interval [0°, 360°). 2√3 - 2i Which is the correct answer? 4( cos 30° + i sin 30°) 4( cos 330° + i sin 330°) 4( cos 60° + i sin 60°) 4( cos 300° + i sin 300°)

Trigonometry : Simplify the Radicand

Simplify the radicand. i√-19 Which is the correct answer? √19 -√19 i√19 -i√19

Trigonometry

A length of rope 168 feet stretches from a bolt in the floor to the peak of an 87 foot radio tower. What is the distance from the floor at the radio tower base to the bolt? What angle does the rope make with the floor?

What is the angle the beam makes with the wall?

A beam 25 feet long leans against a wall. If the top of the beam rests at a point on the wall 17.5 feet above the floor, what is the angle the beam makes with the wall?

TRIGONOMETRY

A handicap ramp is 5.26 meters above the ground. What will the length of the ramp if it makes an angle of 23 degrees with the floor?

Trigonometry and vectors

A force of 800 lbs acts in an upward direction of 40 degrees with the floor. Draw this force as a vector and determine its horizontal and vertical components.