ALP 1

Determine Exact Value

100

sin(2𝜋/3)

√3/2 radians

200

30° 

𝜋/6 radians

300

120°

120 x 𝜋 / 180°

=2𝜋/3 radians

400

-6𝜋

-1080°

500

sec180

=1⁄cos180

=1/-1

=-1

Find Length Of Missing Sides

100

330°

11𝜋⁄6

200

all right triangle have 

sin<θ

tan<θ

cos<θ

sin=opposite/hypotenuse

tan=opposite/adjacent

cos=adjacent/hypotenuse

300

Find value of < B

A=7 B=9 C=12

cos B= (a²+c²=b²)/2ac

cos B= (7²+12²-9²)/2*7*12

=112/168

=2/3

B= cos^-12/3

B=48.19g °

400

measure of angle a

hypotenuse=12

adjacent=5

cos a=5/12

a=cos^-1(5/12)

a≈72.6°

500

solve right triangle

a=4.1

b=6.2

c=

c=√6.2²+4.1²

c ≈7.4

Inverse Functions

100

sin^-1(√3/2)

𝜋/3 radians

200

tan^-1(-95/7)

-85.78 radians

300

cos^-1(-√2/2)

3𝜋/4

400

label the parts

y=sin(x)

sine

y=sine value

x=angle

cosine

y=corresponding angle

x=sine value

500

tan^-1(-95/7)

=tan^-1 * tan(𝜋/3)

=𝜋/3

Value of Functions

100

two angles that have the same terminal side 

coterminal angles

200

tan(√3)

𝜋/3

300

On a regulation baseball field, the four bases form a square whose sides are 90 feet long. The pitching mound is 60.4 feet from home plate. How far is the mound from first base?

_a²=b²+c²-2 *b*c*cosA

x²=60.5+90²-2*60.5*90*cos45

x=63.7

400

tan(𝜋/4)

=sin(1/√2)/cos(1/√2)

=1

500

cos(390)

=360+30

=√3/2

Value Of Expressions

100

45°

= 𝜋⁄4

200

210°

7𝜋/6

300

tan^-1(1)

𝜋/4

400

cos(𝜋/4)

cos1/√2

500

What is the reference angle for 240°

60°