Unit 3 Ap Pre Calc Formulas

Trig identities!!!

Cos²x+sin²x=1

Cos²x+sin²x=1

1+Tan²x=Sec²x

1+Tan²x=Sec²x

1+Cot²x=Csc²x

1+Cot²x=Csc²x

Sin(2x)

2sin(x)cos(x)

Cos(2x)

Cos²(x)-Sin²(x) or 1-2Sin²(x) or 2cos²(x)-1

Tan VA Equation

x = π/2 + πk, where k is an integer.

Sec VA Equation

x = π/2 + πk, where k is an integer.

Csc VA Equation

x = 0 + πk, where k is an integer.

Cot VA Equation

x = 0+ πk, where k is an integer.

Which Functions would have equal VA’s

Tan + Sec! (I will tan in a sec)

and then

Csc + Cot! (the c’s)

Sin (a+b)

= sin(a)cos(b) + cos(a)sin(b)

Sin (a-b)

= sin(a)cos(b) - cos(a)sin(b)

Cos (a+b)

= cos(a)cos(b) - sin(a)sin(b)

Cos (a-b)

= cos(a)cos(b) + sin(a)sin(b)

domain equation of sin

ending in +2πk

domain equation of cos

ending in +2πk

domain equation of tan

ending in +πk

Sin Restriction when you apply the inverse

is restricted to the interval
[-π/2, π/2] or Q1&Q4

Tan restriction when you apply the inverse

is restricted to the interval [-π/2, π/2] or Q1&Q4.

Cos restriction when you apply the inverse

is restricted to the interval [0, π] or Q1&Q2.

What would be in front of your answer if you apply a square root

±

What can you not do when adding and subtracting fractions

You cannot add or subtract fractions unless they have a common denominator, and you CANT CANCEL