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Identities
Simplifying Identities
Pythagorean Identities
Trigonometry
Algebra/Trig
100
1 / (sin x)
What is csc x?
100
(sec x)(cos x)
What is 1?
100
sin²x + cos²x
What is 1?
100

Solutions (for 0 to 360 degrees) for sin x = √3 / 2

What is 60 and 120 degrees?

100

sin 30

What is 1/2?

200
(sin x) / (cos x)
What is tan x?
200
(tan x)(cos x)
What is sin x?
200
1 + cot²x
What is csc²x?
200

 Solutions (for 0 to 2pi) for cos x = -½

What is 2pi/3 and 4pi/3?

200
tan 135
What is -1?
300
1 / (sec x)
What is cos x?
300
(sec x) / (tan x)
What is csc x?
300
1 - cos²x
What is sin²x?
300

Fill all V.A., H.A. and Holes for [2x(x+2)(x+4)^3]/[x(x+2)^3(x+4)^2]

VA: x = -2, HA: y=0, Holes:(-4,0),(0,4)

300
11pi/6 radians
What is 330 degrees?
400
(cos x) / (sin x)
What is cot x?
400
sin x (csc x - sec x)
What is 1 - tan x?
400
sec²x - 1
What is tan²x?
400

Simplify  1- (sin^2x/1+cos x)

What cos x

400

Find all zeros of: x^5 - 5 x^4+5x^3+5x^2-6x Hint: use special theorems we learned. Show work

The zeros are: 0, -1 , 1, 2 and 3


500
cos (-x)
What is cos x?
500
csc x - sin x
What is (cos²x) / (sin x) or (cos x)(cot x) ?
500
(1 + csc x)(1 - csc x)
What is -cot²x ?
500

Simplify sin^2 x +[(cos ^ 2x)/(sin ^2 x)]+cos ^2 x completely as one trig function

csc ^ 2 x

500
2/(x + 1) + 3/(x - 1)
What is (5x + 1) / (x² - 1)