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Hint

1

sin²(x) + cos²(x)

1

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2

tan²(x)

sec²(x) - 1

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3

csc²(x)

cot²(x) + 1

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4

sin(x + y)

sin(x) * cos(y) + cos(x) * sin(y)

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5

sin(x - y)

sin(x) * cos(y) - cos(x) * sin(y)

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6

cos(x + y)

cos(x) * cos(y) - sin(x) * sin(y)

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7

cos(x - y)

cos(x) * cos(y) + sin(x) * sin(y)

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8

sin(2x)

2 * sin(x) * cos(x)

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9

cos(2x)

cos²(x) - sin²(x)

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10

1 / sec(x)

cos(x)

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11

1 / csc(x)

sin(x)

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12

1 / cot(x)

tan(x)

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13

csc²(x)

csc(x) / sin(x)

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14

sec²(x)

sec(x) / cos(x)

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