Precalc Identities

Reciprocal Identities: sin(x)

¹/csc(x)

Reciprocal Identities: cos(x)

¹/sec(x)

Reciprocal Identities: csc(x)

¹/sin(x)

Reciprocal Identities: sec(x)

¹/cos(x)

Reciprocal Identities: tan(x)

¹/cot(x)

Reciprocal Identities: cot(x)

¹/tan(x)

Quotient Identities: tan(x)

sin(x)/cos(x)

Quotient Identities: cot(x)

cos(x)/sin(x)

Pythagorean Identities: sin and cos

sin²x+cos²x=1

1-cos²x=sin²x

1-sin²x=cos²x

Pythagorean Identities: tan and sec

sec²x-tan²x=1

1+tan²x=sec²x

sec²x-1=tan²x

Pythagorean Identities: cot and csc

csc²x-cot²x=1

1+cot²x=csc²x

csc²x-1=cot²x

Sum and difference formulas: sin(α±β)

sinαcosβ±cosαsinβ

Sum and difference formulas: cos(α±β)

cosαcosβ±sinαsinβ

Sum and difference formulas: tan(α±β)

tanα±tanβ

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1±tanαtanβ

Double Angle Formulas: sin(2x)

2sin(x)cos(x)

Double Angle Formulas: cos(2x)

cos²(x)-sin²(x)

1-2sin²(x)

2cos²(x)-1

Double Angle Formulas: tan(2x)

2tan(x)

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1-tan²x