Midterm 1 Flashcards
(22 cards)
Draw a unit circle
Google the answer
Range of sin^-1
[ -pi/2, pi/2 ]
How do the quadrants work on the Cartesian plane
Start Top right. Counter clockwise
End bottom right (1 through 4)
What quadrant is arcsin in
1 and 4
Quadrant 1-4 in degrees
1- 0-90
2- 90-180
3- 180-270
4- 270-360
Range of cos^-1 function
[. 0, pi ]
What quadrant do arccos exist in
1 and 2
What quadrant is arcsin positive in
And negative
Positive in 1
Negative in 4
Distance between 2 points
Pythagorean thereom
Where a2 and b2 are delta x and delta y
C is the distance
Slope of a perpendicular line is
The negative and inverse
Ex. If 5/2 the perp is -2/5
How is e defined
Value so the slope of the tangent line y=e^x at (0,1) is exactly 1
Natural exponent function
Y=e^x
When reflecting over a line example. Yor X equals 5
Multiply by 2
U flip it over and then go up by 10. Cus it’s 5 on each side of the reflection point
Ln (x) is the same as what
Log base e (x)
Domain and range of sin x
Domain all real numbers
Range. [ -1, 1 ]
Domain and range of sin x
Domain all real numbers
Range. [ -1, 1 ]
Domain and range of cos x
Domain. All real numbers
And range. [-1,1]
Domain and range of tan x
Domain all real numbers except odd multiples of 90°
Range. All real numbers
What quadrants is cos ^-1
Negative and positive in
Negative q2
Positive q1
Range of inverse tan
[-pi/2 , pi/2]
What quadrants in inverse tan in
1 and 4
What quadrants in inverse tan positive and negative in
Positive 1
Negative 4
