Circular Functions 2023 Flashcards by Sage Idnurm

Q

sin0°

A

0

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Q

sin30°

A

1/2

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Q

sin45°

A

1/√2

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Q

sin60°

A

√3/2

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Q

sin90°

A

1

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Q

cos0°

A

1

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Q

cos30°

A

√3/2

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Q

cos45°

A

1/√2

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Q

cos60°

A

1/2

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Q

cos90°

A

0

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Q

tan0°

A

0

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Q

tan30°

A

1/√3

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Q

tan45°

A

1

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Q

tan60°

A

√3

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Q

tan90°

A

undefined

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Q

sin(π/6)

A

1/2

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Q

sin(π/4)

A

1/√2

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Q

sin(π/3)

A

√3/2

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Q

sin(π/2)

A

1

Q

cos(π/6)

A

√3/2

Q

cos(π/4)

A

1/√2

Q

cos(π/3)

A

1/2

Q

cos(π/2)

A

0

Q

tan(π/6)

A

1/√3

Q

tan(π/4)

A

1

Q

tan(π/3)

A

√3

Q

tan(π/2)

A

undefined

Q

Radians to Degrees

A

1 radian = 180/π degrees

Q

Degrees to Radians

A

1 degree = π/180 radians

Q

General Solution of tan

A

nπ + θ (where n∈Z)

Q

General Solution of cos

A

2nπ ± θ (where n∈Z)

Q

General Solution of sin (simplified)

A

nπ + (-1)^n × θ (where n∈Z)

Q

Trigonmetric Identity

A

sin²θ + cos²θ = 1

Q

cos(π/2 - θ)

A

sinθ

Q

sin(π/2 - θ)

A

cosθ

Q

tan(π/2 - θ)

A

cosθ/sinθ (cotθ)

Q

cos(π/2 + θ)

A

-sinθ

Q

sin(π/2 + θ)

A

cosθ

Q

tan(π/2 + θ)

A

cosθ/-sinθ (-cotθ)

Q

cos(3π/2 - θ)

A

-sinθ

Q

cos(3π/2 + θ)

A

sinθ

Q

sin(3π/2 - θ)

A

-cosθ

Q

sin(3π/2 + θ)

A

-cosθ

Q

tan(3π/2 - θ)

A

-cosθ/-sinθ (cotθ)

Q

tan(3π/2 + θ)

A

-cosθ/sinθ (-cotθ)

Q

General Solution of sin (textbook)

A

2nπ + θ and (2n + 1)π - θ (where n∈Z)

Q

cotθ

A

1/tanθ