Trig Identities

Use this exercise to improve your use of trig identities

1. tan(x) = sin(x) / cos(x)

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2. sin^2 (x) + cos^2 (x) = 1

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3. sin(x) = 1 / sec(x)

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4. cot(x) * tan(x) = 1

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5. tan^2 (x) - 1 = sec^2 (x)

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6. cos(x) = 1 / csc(x)
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7. sin(x) * cos(x) =1

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8. 1=csc^2 (x) - cot^2 (x)

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9. 1=[sec(x) + tan(x)][sec(x) - tan(x)]

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10. csc(x) = 1 / sin(x)

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11. sin(x) * csc(x) = 1

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12. cos^2 (x) = 1+ sin^2 (x)

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13. sec(x) = 1 / tan (x)

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14. cot(x) = cos(x) / sin(x)

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15. tan^2 (x) = [sec(x) + 1][sec(x) - 1]

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16. 1=sec^2 (x) + tan^2 (x)

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17. tan(x) = 1/ cot(x)

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18. sin^2 (x) = 1 - cos^2 (x)

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19. cos^2 (x) = [1 - cos(x)][1 + cos(x)]
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20. cot^2 (x) = csc^2 (x) - 1

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21. cot^2 (x) = [csc(x) -1][csc(x) -1]
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22. sec(x) * tan(x) = sin (x)

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23. cot(x) = 1/ tan(x)

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24. sin^2 (x) - cos^2 (x) = 1

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25. tan^2 (x) / tan(x0

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26. sin^2 (x) / cos^2 (x) = tan^2 (x)

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27. tan (x) * cos(x) = sin(x)

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28. sin(x) * sec(x) = cot(x)

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29. cot(x) * csc(x) * sec(x) = sin^2 (x)

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30. tan(x) * cot(x) * sin(x) = 1 / csc(x)

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