Pre-calc

math

sin(0)=?

0

sin(30)=?

1/2

sin(45)=?

√2/2

sin(60)=?

√3/2

sin(90)=?

1

cos(0)=?

1

cos(30)=?

√3/2

cos(45)=?

√2/2

cos(60)=?

1/2

cos(90)=?

0

tan(0)=?

0

tan(30)=?

√3/3

tan(45)=?

1

tan(60)=?

√3

tan(90)=?

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How to express a function in terms of a function of a positive acute angle?

1)Find the quadrant

2)Is it positive or negative based on cos, sin, tan

3)Find reference angle

4)Rewrite using the proper sign from step 2 and its reference angle

cos is the?

x

sin is the?

y

tan is?

sin/cos

sin(degree)=?

cos(90-degree)

cos(degree=?

sin(90-degree)

tan(degree)=?

cot(90-degree)

cot=?

1/tan

csc=?

1/sin

sec=?

1/cos

how to find a co-terminal angle?

subtract or add by 360

what is the compound interest formula?

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

What is A in the Compound interest formula?

Final Amount

What is r in the Compound interest formula?

interest rate

What is n in the Compound interest formula?

number of times interest interest applied per time period

What is t in the Compound interest formula?

time

natural log=?

Ln

Ln=?

log base (e)

Ln base(e)=?

1

extraneous solutions

solutions when plugged back in the equation does not equal the answer

how to find reference angle in Q1?

angle=reference angle

how to find reference angle in Q2?

180-angle

how to find reference angle in Q3?

angle-180

how to find reference angle in Q4?

360-angle

half life formula=?

A=initial(1/2)^t/time of half cycle

A in half life is?

remaining

what is t in half-life?

time or how old it is

half life can never?

be 0

Log form=?

log (base)^exponent=number

how to write log form in exponential form?

switch the exponent and number

ex)log base(4)^64=3 turns to 4³=64

what is log (a x b)

log a + log b

what is log (a/b)

log a - log b

what is log a^x

x(log a)

if there is no base shown then the base is?

10

formula for compounded continuously?

A=P(e)^rt

sin a =

cos b

sin b=

cos a

tan b

1/tan a

cot(angle)=?

1/tan or cos/sin