Inverse Trig

Polar -> Rectangular

100

rcosϴ = ?

rsinϴ = ?

rcosϴ =x

rsinϴ =y

200

Are these coordinates rectangular or polar?

(4, 30^o)

Polar

300

Find the rectangular coordinates for the point (2,45^o).

(2cos45, 2sin45)

(√2, √2)

400

Find the rectangular coordinates for the point (4,30^o).

(2√3, 2)

500

Find the rectangular coordinates for the point (7, 300^o).

(7/2, -(7√3)/2)

Rectangular -> Polar

100

r = ?

ϴ=tan^-1(?)

r = √(x²+y²)

ϴ=tan^-1(y/x)

200

Are these coordinates rectangular or polar?

(4, -7)

Rectangular

300

Find the polar coordinates for the point (3, 0).

(3, 0^o)

400

Find the polar coordinates for the point (2, -2).

(2√2, 315^o)

500

Find the polar coordinates for the point (2, 2√3).

(4, 60^o)

First Quadrant Inverse Trig

100

tan^-1(1)

45^o

200

sin^-1(1/2)

30^o

300

cos(tan^-1(√3))

1/2

400

tan(cot^-1(√3))

1/√3

500

sin^-1(cos(0^o))

90^o

All Quadrant Inverse Trig

100

Where is sine negative?

Third and the Fourth

200

For which angles is sinx = 1/2

30^o and 150^o

300

For which angles is tanx = -1 

135^o and 315^o

400

Evaluate sin^-1(√3/2)

60^o and 120^o

500

Evaluate sin^-1(cos(135^o))

225^o and 315^o

Solving Trig Equations

100

Solve 2cosx=√3

30^o and 330^o

200

Solve 2sin²x=1

45^o, 135^o, 225^o, 315^o

300

Solve 3tanx = cotx

30^o, 150^o, 210^o, 330^o

400

Solve cos2x + 2cos²x= 0

60^o, 120^o, 240^o, 300^o

500

Solve cos2x + 7sinx +3 = 0

210^o, 330^o