Trigonometry Identities Flashcards by Dan Lee

Q

sinX/cosX ?

A

tanX

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Q

1/sinX ?

A

cosecX

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Q

1/secX ?

A

cosX

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Q

1/tanX ?

A

cotX

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Q

sin²X + cos²X ?

A

sin²X + cos²X = 1

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Q

sec²X - tan²X ?

A

sec²X - tan²X = 1

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Q

cosec²X - cot²X ?

A

cosec²X - cot²X = 1

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Q

sin2x ?

A

2sinXcosX

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Q

cos2x ?

A

cos²x - sin²x

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Q

Relate cos2x with sin²x?

A

1 - 2sin²x

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Q

Relate cos2x with 2cos²x

A

Cos2x = 2cos²x - 1

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Q

Relate tan2x with tan²x

A

tan2x = 2tanx ÷ (1 - tan²x)

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Q

What is sin(X) - sin(Y) ?

A

2cos( (X+Y)÷2) • sin( (X-Y)÷2)

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Q

What is cos(X) + cos(Y) ?

A

2cos( (X+Y)÷2) • cos( (X-Y)÷2)

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Q

What is cos(X) - cos(Y) ?

A

-2sin( (X+Y)÷2) • sin( (X-Y)÷2)

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Q

What is sin(α + β)?

A

sin(α + β) = sin(α) • cos(β) + cos(α) • sin(β)

Q

What is sin(α − β) ?

A

sin(α − β) = sin(α) • cos(β) − cos(α) • sin(β)

Q

What is cos(α + β) ?

A

cos(α + β) = cos(α) • cos(β) − sin(α) • sin(β)

Q

What is cos(α − β) ?

A

cos(α − β) = cos(α) • cos(β) + sin(α) • sin(β)

Q

Relate cos2x with cos²x?

A

Cos2x = 2cos²x - 1

Q

sina² - sinb² = ?

A

sin(a+b)sin(a-b)

Q

cosa² - cosb² = ?

A

sin(a+b)sin(b-a)

Q

What is tan(tan^-1x)

A

x