Trigonometry Final 2024

Appendix B

100

Exponential Function Base Form

f(x)=b^x

200

Compound Continually Interest

A(t)=Pe^rt

300

Exponential to Logarithmic Form (a=b^c)

a=b^c is equal to log_ba=c

400

Compound Interest

A(t)=P(1+r/n)^nt

500

log_b(x/y)=

log_bx-log_by

Unit 3

100

What is the equation for arc length

θ=s/r

200

Degrees to Radians

x degrees (pi/180)=x radians

300

Angular Velocity

w=θ/t

400

Linear Velocity

v=s/t or v=rw

500

Area of a Sector Equation

A=(1/2)r²θ

Unit 5

100

sin(A+B)=

sinAcosB+cosAsinB

200

Sin(A/2)=

√[(1-cosA)/2]

300

Sin2A=

2SinACosS

400

Tan2A=

2TanA/1-tan²A

500

Tan(A+B)=

tanA+tanB/1-tanAtanB

Unit 7

100

sine equivalence formula

sinA/a=sinB/b=sinC/c

200

Area of a Triangle 

(1/2)abSinC

300

a²=

b²+c²-2abcosA

400

Heron's Triangular Area Formula 

A=sqrt[s(s-a)(s-b)(s-c)]

500

What is the formula for cos A of an AAA triangle

cosA=(b²+c²-a²)/(2bc)

Unit 8

100

zn= (in terms of sin and cos)

rcisθ

200

z₁+z₂=

(a₁+a₂)+(b₁+b₂)i

300

z₁-z₂=

(a₁-a₂)+(b₁-b₂)i

400

z₁z₂₌

(a₁a₂-b₁b₂)+(a₁b₂+a₂b₁)i

500

zn= (full equation)

rⁿ(cosnθ+isinnθ)