Law of Sine/ Cosine
When can you use the Law of Sine when solving a triangle?
When you have one ratio completed AND at least another side or angle
OR
When you have a corresponding angle and its side, and another side or angle
Graph vector < -4, 1> in standard form
from the origin point the arrow in the 2nd quadrant
What is needed to plot a polar coordinate?
(radius, direction)
In r= a*sin(theta)
What does "a" do?
What if "a" is negative?
Determines the length of the circler
Reflects the graph
Find the missing angle of triangle ABC, given
<A = 35 degrees
<C = 95 degrees
<B = 50 degrees
Vector v has an initial point at (8,3) and a terminal point at (10, -5).
Write vector v in component form.
<2, -8>
what do you do to angle if the point is in the fourth quadrant?
360 - theta
graph r = -6 * sin (theta)
circle with radius 6 facing down
Find the length of side AB. Round to the nearest hundredth.
Given: <A = 35 degrees, <C = 95 degrees, side AC = 6
side AB = 7.80
what is the magnitude of the vector given by
z = < 1, -9>
sqrt (82) OR 9.06
convert the polar coordinate (6, -30 degrees) into a cartesian coordinate
( 3sqrt(3), -3)
graph r = 4 + 3*cos(theta)
dimple with outermost point @7 and other point @ -1; polar symmetry
Solve triangle MNP
Given:
side MP = 11, side PN = 31 , side NM = 26
<M = 106.66 degrees
< N= 19.87 degrees
< P = 53.47 degrees
What is the magnitude AND direction of the vector given by z =< -7, 24>?
magnitude = 25
direction = 106.26 degrees
convert the cartesian coordinate (-4, -5) into a polar coordinate.
( 6.4, 231. 34 degrees)
write the polar equation for a rose that has 8 petals of length 3 with polar axis symmetry
r = 3 *cos (4*theta)
a= 3
n= 4 bc even number doubles