Quick Identities
csc (x)
What is 1/sin (x) ?
cos x = -1 (x from 0 to 360 deg)
What is 180 degrees?
Cos curve with amplitude = 2 and frequency 3
What is 2cos3x ?
cotAtanA + sinAcscA
What is 2?
Solve algebraically: 2cos2x + 3sinx - 3=0; x from 0 to 360 deg.
What are 30, 90 and 150 degrees ?
sin(-x)
What is -sin(x) ?
tanx = 1 (x from 0 to 2pi radians)
What are pi/4 and 5pi/4 ?
Sin curve with a=1.5 and period = pi
What is 1.5sin2x?
cotx(sec x - cosx)
What is sinx ?
Solve 2cosx = sinx; x from 0 to 2 pi
What is 1.11 and 4.25 radians ?
cos (-x)
What is cos(x)?
Solve 5 cosx = -1 (x from 0 to 360 deg)
What are 101.5 and 258.5 degrees?
Tan curve with a = 3 and period = 2pi
What is 3tan0.5x ?
cotx/sin(90-x); note x is in degrees
What is cscx ?
Solve 2cosx = sinx; x from 0 to 2 pi
What is 1.11 and 4.25 radians ?
1- cos2x
What is sin2x ?
Solve 3 - cscx = 7 (x from 0 to 2pi radians)
What are 3.39 and 6.03 radians?
Max = 10 @x=4; Min = -10; period = 4pi
What is 10cos 0.5(x - 4) ?
(secA + tanA)(1 - sinA)
What is cosx ?
Solve sinx = cscx algebraically; x from 0 to 2pi
What is pi/2 and 3pi/2 ?
Cofunction of sinx (in degrees)
What is cos(90 - x)?
Solve 2 sin3x = sq. root (2), x from 0 to 2pi.
What are pi/12, pi/4, 3pi/4, 11pi/12, 17pi/12, and 19pi/12?
Pt. (2.5, 4); Max = 9; Min = -1; period = 3pi
What is 5sin 2/3(x - 2.5) + 4 ?
(cotX + tanX)/csc2X
What is tanX ?
High tide occurs at 2 am with a depth of 5 meters. Low tide occurs at 8:30 am with a depth of 2.2 m. Write an equation for this periodic event.
What is 1.4 cos 2pi/13 (x - 2) + 3.6 ?