G9 April 2

Angle Sum/Difference

100

sin(75) =

sin(75) = 

(sqrt(6) + sqrt(2)) / 4

200

sin(255) =

sin(255) = 

(-sqrt(2) - sqrt(6)) / 4

300

sin(-105) =

sin(-105) = 

(-sqrt(3) - sqrt(2)) / 4

400

cos(-15) =

cos(-15) = 

(sqrt(6) + sqrt(2)) / 4

500

csc(285) =

csc(285) = 

-sqrt(6) + sqrt(2)

More Angle Sum/Difference

100

tan(75) =

tan(75) = 2 + sqrt(3)

200

sin(345) =

sin(345) = 

(sqrt(2) - sqrt(6)) / 4

300

sec(75) =

sec(75) = 

sqrt(6) + sqrt(2)

400

cot(105) =

cot(105) = 

-2 + sqrt(3)

500

sin(375) =

sin(375) = 

(sqrt(6) - sqrt(2)) / 4

Polar/Rect

100

What is the formula for converting polar coordinates to rectangular coordinates?

What is the formula for converting polar coordinates to rectangular coordinates?

x = rcos(theta)

y = rsin(theta)

200

What is the formula for converting rectangular coordinates to polar coordinates?

What is the formula for converting rectangular coordinates to polar coordinates?

r² = x² + y²

theta = tan^-1(y/x)

300

Write (3, Pi/2) as rectangular coordinates

Write (3, Pi/2) as rectangular coordinates

(0, 3)

400

Write (3, 3) as polar coordinates

Write (3, 3) as polar coordinates

(3*sqrt(2), Pi/4)

500

Write as rectangular coordinates: (5, 3pi/2)

Write as rectangular coordinates: (5, 3pi/2)

(0, -5)