Trigonometric Identities and Formulae Flashcards by Christopher Quintarelli | Brainscape

Q

tanx

A

sinx/cosx

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Q

sin2(x) + cos2(x)

A

1

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Q

sin(-x)

A

-sinx

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Q

cos(-x)

A

cosx

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Q

tan(-x)

A

-tanx

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Q

sin(a+b)

A

sinacosb + cosasinb

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Q

cos(a+b)

A

cosacosb - sinasinb

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Q

tan(a+b)

A

(tana + tanb)/(1-tanatanb)

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Q

cscx

A

1/sinx

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Q

secx

A

1/cosx

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Q

cotx

A

1/tanx

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Q

tan2(x) + 1

A

sec2(x)

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Q

1 + cot2(x)

A

csc2(x)

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Q

arctanx

A

tan-1(x)

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Q

arcsinx

A

sin-1(x)

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Q

arccosx

A

cos-1(x)

Q

tan(2x)

A

2tanx/(1-tan2(x))

Q

sin(2x)

A

2sinxcosx

Q

cos(2x)

A

2cos2(x)-1 cos2(x) - sin2(x) 1-2sin2(x)

Q

arc length

A

xr (xº/360)2πr (xº/180)πr

Q

area of a sector

A

(1/2)xr^2 (xº/360)πr^2

Q

area of a triangle

A

(1/2)baseheight (1/2)absinC

Q

cosrule

A

c^2 = a^2 + b^2 -2abcosC

Q

sin rule

A

sinA/a =sinB/b