Sin cos tan values Flashcards
What is the peak and minimum of the sin graph
peak = (90,1)
minimum = (270,-1)
How many times does the sin graph repeat itself and at what points does it cross the x axis
repeats every 360 degrees
crosses x axis at points 0, 180 and 360
What is the peak and minimum of the cos graph
peak = (0,1) and (360,1)
minimum = (180,-1)
How many times does the cos graph repeat itself and at what points does it cross the x axis
repeats every 360 degrees
crosses x axis at points 90 and 270
At what points does the tan graph cross the x axis
crosses x axis at points (0,0)
what is the equation of y being directly proportional to x
y/x
what is the equation of y being inversely proportional to x
y X x
what is the cosine rule
a^2 = b^2 + c^2 - 2bccos(A)
what is the equation for linear graphs
y = mx +c
what is the equation for quadratic graphs
Anything with x^2 such as y = x^2 + 7x
what is the equation for cubic graphs
Anything with x^3 such as y = x^3 + 2x^2 + 3x -5
what is the equation for reciprocal graphs
y = a/x
what is the equation for circle graphs
(x+a)^2 + (y-b)^2 = r^2 or id the centre of the circle is (0,0) then the equation is x^2 + y^2 = r^2
what is the equation for exponential graphs
y = a X b^x
what do the following transformations mean:
1)f(x)+1
2)f(x)-3
3)f(x+10)
4)f(x-4)
5)-f(x)
6)f(-x)
1) Graph moves up by 1
2) Graph moves down by 3
3) Graph moves left by 10
4) Graph moves right my 4
5) Graph reflects in x axis
6) Graph reflects in y axis
