Math 119-07 Chapter 7 Review by RyRy

Radian Conversion

100

3pi/4

135@

200

54@

3pi/10

300

300∘

5pi/3

400

7pi/6

210∘

500

5pi/6+75@

225@

Trig Functions

100

cos(4pi/3)

-1/2

200

tan(2pi/3)

-sqrt3

300

csc(-4pi/3)

2sqrt3/3

400

 Evaluate all six trigonometric functions.

theta = 11pi/6

 

sin=-1/2, cos=sqrt3/2, tan=-sqrt3/3, csc=-2, sec=2sqrt3/3,tan=-sqrt3

500

secθ=−2 and θ is in Quadrant III

Find: sin⁡θ, cos⁡θ and tan⁡θ 

cos=-1/2, sin=-sqrt3/2, tan=sqrt3

Graphing

100

Find Amplitude

y=-5sin(5/8x)

5

200

Find Period

y=9/7cos(4x)+4/3

pi/2

300

Amplitude, Period and Phase shift.

y=8cos(7x)

Shift= none, Amplitude=8, Period=

2pi/7

400

Amplitude, Period and Phase shift.

y=-2/3cos(pi/3x)

Shift=none, Period=6, Amplitude= 2/3

500

Amplitude, Period and Shift.

y=5sin(2x-pi/2)

Amp=5, Period= Pi, Shift=

pi/4

Trig Identities

100

Simplify.

sin^2theta+cos^2theta

1

200

Simplify.

tantheta*cottheta

1

300

Rewrite sec θ in terms of sin θ only.

sectheta=1/(sqrt(1-sin^2theta

400

Simplify.

(1-costheta)/sintheta

csctheta-cottheta

500

Simplify Completely.

(sintheta+costheta)^2-1

2sinthetacostheta

Inverse Trig

100

y=arcsin(1)

pi/2

200

y=cos^-1(1/2)

pi/3

300

y=arctan(-sqrt3)

-pi/3

400

y = arcsin( sqrt3 / 2 )

pi/3

500

cos( arcsin( 3/5 ) )

4/5