EXAM 3 Flashcards
sin^2x + cos^2x
=1
tan^2x + 1 =
sec^2x
1+ cot^2x
csc^2x
secx
1/cosx
cscx
1/sinx
tanx
sinx/cosx
cotx
cosx/sinx
sin(2 · Θ) =
2 · sin(Θ) · cos(Θ)
cos(2 · Θ) =
cos^2(Θ) - sin^2(Θ)
f(x)= A sin B (x-C) +D
A: Amplitude B:Period:2pi/B C: Phase shift (horizontal translation) D: Vertical shift
Rules per quadrant in unit circle
Q1 + +
Q2 - +
Q3 - - (FLIP)
Q4 + - ( NO FLIP! START AT 300 LOOKING AT 60, CHANGE SIN SIGN)
3 answers: Cos(2x) =
Cos^2(x) - sin^2(x) OR 2cos^2(x) -1 OR 1-2sin^2(x)
Sin(Θ/2) =
+- sqrt 1-cos(Θ)/2
Cos(Θ/2) =
+- sqrt 1+cos(Θ)/2
When do you use law of sin?
Cases 1 and 2
When do you use law of cos?
Cases 3 and 4
Case 1
AAS or ASA
Case 2
SSA
Case 3
SAS ( the angle between two sides)
Case 4
SSS
Upper case - ___ lowercase- ____
Uppercase angle lowercase side
Function (inverse function (x)) =
x
