MAT 172 Project ALP #1

Converting Angles

100

210 degrees 

7pi/6

200

5pi/3

300 degrees

Reference angles

100

positive and negative coterminal angles of -225

135,-585

200

refrence angle of 30, 275 and125

30-30

275- 55

125- 85

Arc Length

100

diameter 10ft

angle- 90 degrees

find arc length

*hint*s=r(theta)

a. 99 ft    b. 19.6ft  c. 756.1ft   d. 7.9ft

D.7.9 ft

200

find radius of circle 

arc length- 7.85 units

radius- 4 units

a. 2                      c. 112.4

b. 225.2               d. 156

c. 112.4

Application problems

100

find length of missing sides

sin(B)= 1/sqrt7  a=6

find b=

find c=

*remember, if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.*

b= sqrt6

c= sqrt 42

200

find sin(A)

A= ?                a=16

B=?                 b=6

C=90               c=?

A= (8)/sqrt73)

Angles and Trig Functions

100

if cos(x)= -2/3 and x is in QIII

find exact values of 

Sin(x)

Sec(x)

Csc(x)

Tan(X)

Cot(X)

Sin(x)=-(sqrt5/3)

Sec(x)=-(3/2)

Csc(x)=-(3*sqrt5/5)

Tan(X)=(sqrt5/2)

Cot(X)=(2*sqrt5/5)

200

if tan(x)=3/4 and 0≤x≤π/2 find these values

sin(x)=

cos(x)=

sec(x)=

csc(x)=

cot(x)=

sin(x)= 3/5

cos(x)=4/5

sec(x)=5/4

csc(x)=5/3

cot(x)=4/3