Find the Magnitude and Direction. [0,2π)
<2,1>
magnitude: sqrt5
direction: 26.56 degrees
Solve the triangle.
Capitals=Angles, lower case=sides
B=34 degrees, C=82 degrees, a=5.6
A=64 degrees, c=6.2, b=3.5
Determine the area of the triangle.
Capitals=Angles, lower case=sides
a=34, b=20, c=18
What is 144
Determine the solution using identities.
2cos2(x)+3sin(x)-3=0
π /6, 5π /6,π /2
Convert this rectangular coordinate to a polar coordinate.
(-3,3)
(3sqrt2, 3π /4)
Determine the horizontal and vertical components of the vector with the given length and direction
lvl=20, Angle=30 degrees
Answer should be in i and j form
10sqrt3i+10j
Solve the triangle.
Capitals=Angles, lower case=sides
A=31 degrees, C=55 degrees, a=15B=29.05 degrees, c=23.86, b=94
Solve the triangle for the unknown side.
Capitals=Angles, lower case=sides
C= 49.1°, a = 2.51, b = 3.91
c=3
sec2(x)-2tan(x)=4
3π /4, tan-1(3)
Convert this rectangular coordinate to a polar coordinate.
(-5,0)
(5,π)
u=<4,3> v=<9,1>
Find u+v, u-v, and 5u-2v
u+v=<13,-2>
u-v=<-5,-4>
5u-2v=<2,-17>
Bob is walking along a straight road. He decides to leave the road and walks on a path that makes an angle of 30 degrees with the road. After walking for 100 meters, he turns through an angle of 75 degrees and heads back toward the road.
How far does Bob need to walk on his current path to get back to the road?
What is 100/sqrt2 meters
Capitals=Angles, lower case=sides
a = 47, b = 18, c = 33; find angle A.
A=132.1
Determine the solution using identities.
tan(x)+1=sec(x)
2π
Convert this rectangular coordinate to a polar coordinate.
(0,3)
(3,π/2)
v=-3i+6j
Find a vector with initial point at the origin that is half the length and points in the same direction as v
<-3/2,3>
Solve the Triangle
Capitals=Angles, lower case=sides
A = 60°, B = 60°, c = 60°
IMPOSSIBLE
Solve the triangle.
Capitals=Angles, lower case=sides
B = 83°, a = 4.6, c = 6.1
A=39.5° , C=57.5° , b=7.2
sin(x)+cos(x)=1
2π ,π /2
Convert this rectangular equation to a polar equation.
x=4
r=4secθ
A woman leaves home and walks 2 miles west, then 7 miles southwest. How far from home is she? Round to the third decimal.
8.532 mi
Solve the Triangle
Capitals=Angles, lower case=sides
b = 3.7, c = 6.1, C = 70°
A=75.25°, B=34.75°, a=6.28
Find the area of a triangle with sides of length 12 in, 28 in, and 34 in. Round to the nearest tenth.
What is 158 in2
Determine the solutions using identities.
4sin2(x)-3=0
π /3,2π /3,4π /3,5π /3
Convert this rectangular equation to a polar equation.
y=-x
θ =3π/4