APPC UNIT 7 TRIG REVIEW

Review at least on some of the formulas like Pythagorean Theorem, Range and Domain for the Trig Functions, as well as what makes them up

sin² (x) + cos²(x) = ?

1

1 + cot²(x) = ?

csc²(x)

1 + tan²(x) =

sec²(x)

Domain and Range for : sin^-1(x) or arcsin(x)

D : [-1 , 1]

R : [ -(pi / 2) , (pi / 2) ]

Domain and Range for : cos^-1(x) or arccos(x)

D : ( - infinity , infinity )

R : [ 0 , pi ]

Domain and Range for : tan^-1(x) or arctan(x)

D : ( - infinity , infinity )

R : [ -(pi / 2) , (pi / 2) ]

Range for : csc(x) or 1/sin(x)

R : ( -infinity , -1 ] U [ 1 , infinity )

csc(x) is undefined when ..

sin(x) = 0

Range for : sec(x) or 1/cos(x)

R: ( - infinity , -1 ] U [ 1 , infinity )

sec(x) is undefined when ..

cos(x) = 0

Range for : cot(x) or 1/tan(x)

R : ( - infinity , infinity )

cot(x) is undefined when ..

sin(x) = 0

Not only is cot(x) = 1/tan(x) but also

cos(x) / sin(x)

Period is

pi / b