Trig Identities
Simplifying Trig Functions
Solving Trig Equations [0,2pi)
Sum and Difference, and Double-angle
Hermanson
100
1/cscx
sinx
100
(secx)(cosx)
1
100
sinx = 1/2
pi/6, 5pi/6
100
cos(45 + 60)
{sqrt(2) - sqrt(6)}/ 4
100
Who is Mr. Hermanson's favorite football team?
Vikings
200
sin2x + cos2x
1
200
sin x (csc x - sec x)
1 - tan x
200
sqrt(2)sinx + 1 = 0
5pi/4, 7pi/4
200
Rewrite the expression using double angle formula
4sinxcosx+1
2sin2x + 1
200
How old is Mr. Hermanson?
25
300
1 + cot2x
csc2x
300
(1 + csc x)(1 - csc x)
-cot²x
300
sec4x = 2
pi/12, 5pi/12
300
sin(5pi/12)
{sqrt(6) + sqrt(2)}/4
300
What city and state (NEED BOTH) is Mr. Hermanson from?
Fargo, North Dakota
400
cosxcosy + sinxsiny
cos(x-y)
Difference Formula
400
sec2xtan2x+sec2x
sec4x
400
2cos2x + sqrt(2) = 0
3pi/8, 5pi/8
400
tan(17pi/12)
(-1 - sqrt(3)) / (1 - sqrt(3))
400
What are the names of Mr. Hermanson's siblings?
Jessica and Leah
500
cos2x - sin2x
cos2x
Double Angle
500
tanx - (sec2x)/(tanx)
-cotx
500
2sec2x + tan2x - 3 = 0
pi/6, 5pi/6, 7pi/6, 11pi/6
500
Use the double angle formula to find the solution.
4sinxcosx = sqrt(2)
pi/8, 3pi/8
500
What is the name of Mr. Hermanson's niece?
Nora