MATH 152: Trig Identities

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Last updated 5:14 PM on 9/18/25
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11 Terms

1
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Sin and Cos Pythagorean Identity

sin²x + cos²x = 1

2
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Cot and Csc Pythagorean Identity

1 + cot²x = csc²x

3
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Tan and Sec Pythagorean Identity

tan²x + 1 = sec²x

4
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Sin Half-Angle Identity

sin²x = ½ (1 - cos2x)

5
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Cos Half-Angle Identity

cos²x = ½ ( 1 + cos2x)

6
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sinxcosx =

½ sin2x

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sin2x =

2sinxcosx

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cos2x =

cos²x - sin²x

2cos²x - 1

1 - 2sin²x

9
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Integral of tanxdx =

ln |secx| + C

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Integral of secxdx =

ln |secx + tanx| + C

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Integral of sec³xdx =

½ [ secxtanx + ln |secx + tanx| ] + C

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