New trig identities

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9 Terms

1
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sec(x) =

1 / cos(x)

2
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cosec(x) =

1 / sin(x)

3
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cot(x) =

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

4
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sin and cos equation?

sin²(x) + cos²(x) = 1

5
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how to derive sin²(x) + cos²(x) = 1

right angled triangle, hypotenuse 1. one length sin(x) other cos(x) .

using Pythagoras, sin²(x) + cos²(x) = 1

6
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tan and sec equation?

tan²(x) + 1 = sec²(x)

7
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derive tan and sec equation

divide sin²(x) + cos²(x) = 1 by cos²(x)

you get tan²(x) + 1 = sec²(x)

8
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cot and cosec equation/

1 + cot²(x) = cosec²(x)

9
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derive cot and cosec equation

divide sin²(x) + cos²(x) = 1 by sin²(x)

you get, 1+ cot²(x) = cosec²(x)