A-4 Trig and Vectors

Question 1

____________is a branch of mathematics that studies triangles and the relationships between their sides and the angles between sides.

Answer 1

Trigonometry

Question 2

Sine

Answer 2

Opposite/Hypotenuse

Question 3

Cosine

Answer 3

Adjacent/Hypotenuse

Question 4

Tangent

Answer 4

Opposite/Adjacent

Question 5

What are the three angles called.

Answer 5

Right angle (90)
Acute angle (less than 90)
Obtuse angle (less than 180)

Question 6

_____are two angles whose sum is equal to one right angle (90)

Answer 6

Complementary angles

Question 7

____are two angles whose sum is equal to a straight line.

Answer 7

Supplementary

Question 8

Pythagorean theorem

Answer 8

c^2= a^2 + b^2

Question 9

An ____ triangle is one that has two sides of equal length and two angles that are equal as well

Answer 9

Isosceles triangle

Question 10

An ____ triangle has all three sides of equal length.

Answer 10

Equilateral triangle

Question 11

___ are triangles that have the same angles but have sides of different lengths.

Answer 11

Similar Triangles

Question 12

A scaled line depicting a gravitational force acting downwards can be termed a

Answer 12

Vector

Question 13

Series AC circuits containing resistance and reactance are commonly illustrated using a right triangle called an_____ triangle

Answer 13

Impedance Triangle

Question 14

Impedance in ohms

Answer 14

=Z (hypotenuse)

Question 15

Reactance in ohms

Answer 15

=X (y axis)

Question 16

Resistance in ohms

Answer 16

=R (x axis)

Question 17

Apparent power

Answer 17

=VA (hypotenuse)

Question 18

Reactive Power

Answer 18

=VARs (y-axis)

Question 19

True Power

Answer 19

=Watts (x-axis)

Question 20

Adding vectors out of phase (remember 2nd function -> r, theta for resultant and phase angle.)

Answer 20

for x =magnitude x cos (angle) + (repeat as many times as needed) —> save to A

for y =magnitude x sin (angle) + (repeat as many times as needed) —> save to B

Question 21

+x, +y = quadrant

Answer 21

1

Question 22

-x, +y = quadrant

Answer 22

2

Question 23

-x, -y = quadrant

Answer 23

3

Question 24

+x, -y = quadrant

Answer 24

4