MAT201 diagnostic (integral rules, trig identities, and trig sub)

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Last updated 2:52 AM on 9/4/26
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19 Terms

1
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1/sinx

cscx

2
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1/cosx

secx

3
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1/tanx

cotx

4
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pyth1

sin²x + cos²x = 1

5
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pyth2

sec²x = 1 + tan²x

6
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pyth3

csc²x = 1 + cot²x

7
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?

sec²x + csc²x = sec²x * csc²x

8
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sin(a+b) =

sinacosb + sinbcosa

9
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sin(a-b)

sinacosb - sinbcosa

10
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cos(a+b)

cosacosb - sinasinb

11
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cos(a-b)

cosacosb + sinasinb

12
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sin2a

=2sinacosa

=2tana / (1 + tan2a)

13
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cos2a

=cos²a - sin²a

=2cos²a - 1

=1 - 2sin²a

=1-tan^a / (1 + tan²a)

14
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sin²x (power-reducing)

½ * (1 - cos2x)

15
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cos²x (power-reducing)

½ (1 + cos2x)

16
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tan2a

2tana / (1 - tan²a)

17
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√(a² - x²)

expression reduces to acosθ

sinθ = x/a

18
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\(\sqrt{}\) (a² + x²)

expression reduces to asecθ

tanθ = x/a

19
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\(\sqrt{}\) (x²-a²)

expression reduces to asecθ

secθ = x/a