Trigonometry

Chapter 2

100

sin^-1 (sin 13 pi/6) = 

pi/6

200

What is tan (5pi/6)

-sqr(3)/3

300

Find cos t, given cot t = -1/2, csc t = sqr(5)/2

cos t = -sqr(5)/5

400

Find the phase shift

y= -cos (pi/2 x +pi/6)

-1/3

500

Find the period for y=4csc (2x+pi)

1

Chapter 3

100

Convert -135 degrees to radians

-3pi/4

200

Convert 9pi/4 to degrees

405

300

Find the exact value of sin 315 degrees

-sqr(2)/2

400

Find the exact value of csc 8pi/3

2sqr(3)/3

500

Find the exact value of tan(sin^-1 2/5) 

2/sqr(21)

Chapter 4

100

Solve the equation in the interval [0, 2p)

cos x sin x -sin x =0

0, pi

200

Solve the equation in the interval [0, 2p)

2 sin²x - 5 sin x +2 =0

pi/6, 5pi/6

300

Solve the equation in the interval [0, 2p)

2cos²x -7cos x +3 =0

pi/3, 5pi/3

400

Find the exact value of the expression

cos 15 degrees

sqrt(2+sqr(3))/2

500

Find the exact value of the expression

tan pi/8

sqrt(2) - 1 

Chapter 5

100

Find the rectangular coordinates for P

(4sqrt(3), -5pi/3)

(2sqrt(3), 6)

200

Find the polar coordinates with r greater than or equal to 0.  (-6 sqrt(2), -6 sqrt (2))

(12, 5 pi/4)

300

Express in rectangular form

r=3+3 cos theta

(x² +y² -3x)²

400

write in polar form -1 +i

sqrt (2) (cos 3pi/4 +i sin 3pi/4)

500

Find a rectangular-coordinate equation for the curve by eliminating the parameter.

x=1-t²,    y=1+t

x=2y-y²

Chapter 6

100

Find U+V

U={-2, 3},  V={8, 1}

{6, 4}

200

Find the vector with initial point P(0,3) and terminal point Q(3, -1).

{3, -4}

300

Find U dot V

U= {4, -3},  V= {9, -8}

60

400

Are U and V orthogonal

U= 2i+j,    V=i +3j

No

500

Find the cross product 

A=i - j,    b=2j - k 

sqrt(6)/6 i + sqrt(6)/6 j + sqrt (6)/3 k