Practice for Alg3 Chapter 8 Test

Quick Identities

100

csc (x)

What is 1/sin (x) ?

200

sin(-x)

What is -sin(x) ?

300

cos (-x)

What is cos(x)?

400

1- cos²x

What is sin²x ?

500

Cofunction of sinx (in degrees)

What is cos(90 - x)?

Solving for the Angle

100

cos x = -1 (x from 0 to 360 deg)

What is 180 degrees?

200

tanx = 1 (x from 0 to 2pi radians)

What are pi/4 and 5pi/4 ?

300

Solve 5 cosx = -1 (x from 0 to 360 deg)

What are 101.5 and 258.5 degrees?

400

Solve 3 - cscx = 7 (x from 0 to 2pi radians)

What are 3.39 and 6.03 radians?

500

Solve 2 sin3x = sq. root (2), x from 0 to 2pi.

What are pi/12, pi/4, 3pi/4, 11pi/12, 17pi/12, and 19pi/12?

Find the Equation Y'all

100

Cos curve with amplitude = 2 and frequency 3

What is 2cos3x ?

200

Sin curve with a=1.5 and period = pi

What is 1.5sin2x?

300

Tan curve with a = 3 and period = 2pi

What is 3tan0.5x ?

400

Max = 10 @x=4; Min = -10; period = 4pi

What is 10cos 0.5(x - 4) ?

500

Pt. (2.5, 4); Max = 9; Min = -1; period = 3pi

What is 5sin 2/3(x - 2.5) + 4 ?

Simplify the Expression Y'all

100

cotAtanA + sinAcscA

What is 2?

200

cotx(sec x - cosx)

What is sinx ?

300

cotx/sin(90-x); note x is in degrees

What is cscx ?

400

(secA + tanA)(1 - sinA)

What is cosx ?

500

(cotX + tanX)/csc²X

What is tanX ?

Etc.

100

Solve algebraically:  2cos²x + 3sinx - 3=0; x from 0 to 360 deg.

What are 30, 90 and 150 degrees ?

200

Solve 2cosx = sinx; x from 0 to 2 pi

What is 1.11 and 4.25 radians ?

300

Solve 2cosx = sinx; x from 0 to 2 pi

What is 1.11 and 4.25 radians ?

400

Solve sinx = cscx algebraically; x from 0 to 2pi

What is pi/2 and 3pi/2 ?

500

High tide occurs at 2 am with a depth of 5 meters. Low tide occurs at 8:30 am with a depth of 2.2 m. Write an equation for this periodic event.

What is  1.4 cos 2pi/13 (x - 2) + 3.6 ?