Unit 4 PreCalculus Review

Identities 1

100

cos 285^o

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

200

If tan(x) = -4/3, find the half angle of cosine.

-2sqrt(5) / 5

400

If sin(x) = -15/17 in quadrant 3, find the half of sine.

5sqrt(34)/34

500

If sine(x) 2sqrt(2)/3 in quadrant 1, find the double angle of cosine.

-7/9

Identities 2

100

The reciprical of csc.

1/sin

200

cos^2 (x) + sin^2 (x)

1

300

Use the sum and difference formula to find tan(11pi/12)

sqrt(3) - 2

400

Use the sum and difference formulas to find cos(5pi/12) [Hint: convert to degrees]

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

500

If cos(x) = sqrt(3)/2 and is quadrant 3, find the half of cosine.

sqrt(2+sqrt(3))/2

Identities 3

100

If the tan(x) = 6sqrt(13)/13 in quadrant 1, find the double angle of cosine.

-23/49

200

cot x

cos/sin

300

Name this identity: (cosa)(cosb) - (sina)(sinb)

cos(a+b)

400

Find the original angle being solved for:

cos(45)cos(30) - sin(45)sin(30) 

cos(75)

500

1- csc^2 (x)

cot^2 (x)

Solving/Verify (NEW STUFF)

100

Verify that:

cosx + sinxtanx = secx

Work should be shown that secx = secx

200

Verify that:

(cosx/1-sinx) = secx + tanx

Work should be shown

300

Solve each equation for 0 <= x <= 2pi

-2 +cos2x +4sin^2(x) = 0

pi/4, 3pi/4, 5pi/5, 7pi/4

400

1 = 2cos^2 (x) + cos2x

pi/4, 3pi/4, 5pi/4, 7pi/4

500

What where the last words spoken in The Empire Strikes Back?

May the Force be with you

Definitions

100

NO FORMULA SHEETS:

State the formula for:

cos2x

(cosx)^2 - (sinx)^2

200

NO FORMULA SHEETS:

State the formula for:

sin2x

2sinxcosx

300

NO FORMULA SHEETS:

State the formula for:

tan(a+b)

(tana + tanb) / (1 - tanatanb)

400

NO FORMULA SHEETS:

State the formula for:

cos(a+b)

cosacosb - sinasinb

500

NO FORMULA SHEETS:

State the formula for:

sin(a-b)

sinacosb - sinbcosa