PreCalc Final

Finding Coterminal Angles

To find, add/subtract revolutions: x ± 360n OR x ± 2pi n

Converting degrees and radians

Multiply by 180/pi or pi/180

Law of Sines

MUST have complete pair, check for multiple answers

A/b=c/d = AxD=BxC

Law of Cosines

C²=A²+B²-2*A*B*cos(x)

Area Formula

Area = a * b *sin (x)/2

X is the angle between sides A & B

SOHCAHTOA

a²+b²=c²

Y=sin(x)

Y=cos(x)

Y=tan(x)

Y=csc(x)

Y=sec(x)

Y=cot(x)

Find an equation of a graph with sine

Y=Asin(b(x-h))+k

Find an equation of a graph with cosine

Y=Acos(b(x-h))+k

Angle of inclination

Tan(angle of inclination)=slope

To find angle of inclination, do the inverse tangent of the slope

Pythagorean Relationships

1. Sin²(x)+cos²(x)=1

2. 1+cot²(x)=csc²(x)

3. Tan²(x)+1=sec²(x)

Sum and Difference Relationships

Cos(a±b)=cos(a)*cos(b)-/+sin(a)*sin(b)

Sin(a±b)=sin(a)*cos(b)±cos(a)*sin(B)

Tan(a+b)=tan(a)+tan(b)/1-tan(a)*tan(b)

Tan(a-b)=tan(a)-tan(b)/1+tan(a)*tan(b)

Double Angle Relationships

Sin(2a)=2sin(a)*cos(a)

Cos(2a)=cos²(a)-sin²(a)

= 1-2sin²(a)

=2cos²(a)-1

Tan(2a)=2*tan(a)/1-tan²(a)