Trigonometry Flashcards
SOH CAH TOA stands for?
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
A.L.S.T stands for in unit circle
all stations to central
first quadrant is…
all positive
second quadrant is…
sin positive
others negative
third quadrant is…
tan positive
others negative
fourth quadrant is…
cos positive
others negative
exact value of sin30
1/2
exact value of sin45
1/root2
exact value of sin60
root3/2
exact value of cos30
root3/2
exact value of cos45
1/root2
exact value of cos60
1/2
exact value of tan30
1/root3
exact value of tan60
root3
exact value of sin0
0
exact value of cos0
1
exact value of tan0
0
exact value of sin90
1
exact value of cos90
0
exact value of tan90
undefined
What is the Sine rule?
a/sinA = b/sinB = c/sinC
when can the sine rule be used?
the size of 2 angles and the length of one side is given OR the length of 2 sides and the size of an angle opposite one of these sides
what is the cosine rule for an angle?
cosA = (b^2+c^2-a^2)/2bc
what is the cosine rule for a side?
a^2 = b^2+c^2 - 2bc cosA
when can the cosine rule be used?
when given the length of three sides OR the length of 2 sides and the size of the included angle
formula for area of a triangle
A=½bh
formula for completing the square
(x-a)^2 = x^2 -2ax +(-2a/2)^2
What is the quadratic formula?
X=-b±√b²−4ac/(over)2a
