Verifying Trig Identities Flashcards

1
Q

sin²(u) + cos²(u) = ?

A

1

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2
Q

1 + tan²(u) = ?

A

sec²(u)

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3
Q

1 + cot²(u) = ?

A

csc²(u)

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4
Q

sin(u) = ?

A

1/csc(u)

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5
Q

cos(u) = ?

A

1/sec(u)

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6
Q

tan(u) = ?

A
  • 1/cot(u)

- sin(u)/cos(u)

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7
Q

csc(u) = ?

A

1/sin(u)

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8
Q

sec(u) = ?

A

1/cos(u)

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9
Q

cot(u) = ?

A
  • 1/tan(u)

- cos(u)/sin(u)

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10
Q

sin(a + b) = ?

A

sin(a)cos(b) + cos(a)sin(b)

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11
Q

cos(a + b) = ?

A

cos(a)cos(b) - sin(a)sin(b)

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12
Q

tan(a + b) = ?

A

tan(a) + tan(b)/1 - tan(a)tan(b)

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13
Q

sin(a - b) = ?

A

sin(a)cos(b) - cos(a)sin(b)

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14
Q

cos(a - b) = ?

A

cos(a)cos(b) + sin(a)sin(b)

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15
Q

tan(a - b) = ?

A

tan(a) - tan(b)/1 + tan(a)tan(b)

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