Trigonometry Flashcards
how to find the secondary value of a sine graph
180 - PV
how to find the secondary value of a cos graph
360 - PV
how to find the secondary value of a tan graph
PV + 180
what is an identity
an expression that is always true, for all values
what are the two trig identities
both given on formula sheet
how to find additional values of a sine graph
360 + PV
how to find additional values of a cosine graph
360 - PV
what is the range of y = cos(x) or y=sin(x)
-1 <=y<= 1
same for y = sin(x)
what are some properties of a cos(x) graph
- period of 360*
- has an amplitude of 1
- has a line of symmetry in the y-axis
where is a tan graph’s line of symmetry
it has rotational symmetry about the origin
what does a triple equals sign mean
is identical to
what is the Pythagorean identity
how to do on a calculator
exam tip
how to find additional values of tan
keep adding 180
how to find additional values of a sine graph
360 + PV
then
360 + (180-PV)
and so on
Exam tip
what is a unit square
a square with sides of 1 unit each
how would you calculate sin(45), cos(45) or tan(45) in an exam
half a unit square
How could you find sin cos and tab for angles 30 and 60 without a calculator
Using half an equilateral triangle of 2
what is the exact value for sin(45)
square root 2 over 2
what is the exact value of cos(45)
square root 2 over 2
what is the exact value of tan(45)
1
what is the exact value of sin(30)
1/2
what is the exact value of sin(60)
square root 3 over 2
what is the exact value of cos(30)
square root 3 over 2
what is the exact value of cos(60)
1/2
what is the exact value of tan(30)
square root 3 over 3
what is the exact value of tan(60)
square root 3
what is the ambiguous case of the sine rule
don’t really know but when using the sine rule the calculator will always give back the acute angle
if it asks for the obtuse, take the acute angle away from 180
