Random calc (trig identities and unit circle)

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Last updated 6:00 AM on 4/23/26
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23 Terms

1
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trig identities: what is sec x, csc x, tan x, cot x?

1/cos x, 1/sin x, sin x/cos x, 1/tan x (or cos x/sin x)

2
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(trig identity) sin²x + cos²x = ?

1

3
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(trig identity) sec²x = ?

1 + tan² x

4
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(trig identity) csc²x = ?

1 + cot²x

5
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What is the inverse of ln?

e

6
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What is the point 0 or 2pi on the unit circle equal to? (unit circle practice)

(cos 0, sin 0) = 1, 0

7
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What is the point pi/6 or 230 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = sqrt 3/2, 1/2

8
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What is the point pi/4 or 45 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = sqrt 2/2, sqrt 2/2

9
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What is the point pi/3 or 60 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = 1/2, sqrt 3/2

10
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What is the point pi/2 or 90 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = 0, 1

11
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What is the point 2/3pi or 120 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -1/2, sqrt 3/2

12
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What is the point 3/4 pi or 135 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -sqrt 2/2, sqrt 2/2

13
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What is the point 5/6 pi or 150 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -sqrt 3/2, 1/2

14
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What is the point pi or 180 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -1,0

15
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What is the point 7/6 pi or 210 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -sqrt 3/2, -1/2

16
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What is the point 5/4 pi or 225 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -sqrt 2/2, -sqrt 2/2

17
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What is the point 4/3 pi or 240 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = -1/2, -sqrt 3/2

18
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What is the point 3/2 pi or 270 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = 0, -1

19
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What is the point 5/3 pi or 300 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = 1/2, -sqrt 3/2

20
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What is the point 7/4 pi or 315 degrees on the unit circle equal to? (unit circle practice)

(cos , sin ) = sqrt 2/2, -sqrt 2/2

21
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What is the point 11/6 pi or 330 degrees on the unit circle equal to? (unit circle practice)

(cos, sin) = sqrt 3/2, -1/2

22
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What is the sides on a 30, 60, 90 triangle?

x, sqrt3 x, 2x

23
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What are the sides of a 45, 45, 90 triangle equal to?

x, x, sqrt2 x