Trig Identities And Polar Coordinates Review Question Preview (ID: 53989)


Trig Identities And Laws, Trig Equations, Polar Coordinates. TEACHERS: click here for quick copy question ID numbers.

Convert to polar form (using degrees for theta): 5 + 2i
a) sqrt29(cos22 + isin22)
b) sqrt38(cos56 + isin56)
c) sqrt10(cos70 + isin70)
d) 4(cos90 + isin90)

Convert to polar coordinates: (0, 4)
a) (4, 0 degrees)
b) (4, 90 degrees)
c) (-4, 0 degrees)
d) (-4, 90 degrees)

Convert to Cartesian coordinates: (3, pi/3)
a) (4, 3.7)
b) (3.7, 4)
c) (2.6, 1.5)
d) (1.5, 2.6)

Find B when b=35, c=38, C=110 degrees
a) 0 degrees
b) 30 degrees
c) 60 degrees
d) 90 degrees

Find A when a=11, b=17, c=10
a) 38 degrees
b) 72 degrees
c) 16 degrees
d) 54 degrees

Solve for theta: 3csc^2(theta) = 1 + 2csc^2(theta)
a) pi/6, 5pi/6
b) pi/4, 3pi/4
c) pi/2, 3pi/2
d) pi, 2pi

Choose the one that is NOT equal to cos^2(theta)
a) (1 + cos2(theta))/2
b) 1 - sin^2(theta)
c) 1/sec^2(theta)
d) tan^2(theta) + 1

Find the exact value of sin75 degrees.
a) (sqrt2 + sqrt6)/4
b) (sqrt2 - sqrt6)/4
c) (sqrt6 - sqrt2)/4
d) (sqrt2 + sqrt6)/2

Subtract the vectors: (1, -3) - (-4, 6)
a) (-3, -9)
b) (-3, 3)
c) (5, -9)
d) (5, 3)

Find the dot product: (-1, 9) and (8, 2)
a) 10
b) -10
c) 26
d) 7

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