Addition Formulae and Double Angle Flashcards by Ellie jones

Q

Cos (A + B) =

A

cosAcosB - sinAsinB

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Q

cosAcosB - sinAsinB

A

cos (A + B)

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Q

Cos (A - B) =

A

cosAcosB + sinAsinB

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Q

cosAcosB + sinAsinB

A

Cos (A - B)

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Q

Expand cos (G + H)

A

cosGcosH- sinGsinH

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Q

Expand cos (N - 35)

A

cosNcos35 + sinNsin35

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Q

Expand and simplify cos170cos70 - sin170sin70

A

-1/2

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Q

Simplify:

A

cos square root 3/2

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Q

Simplify cos (x - y) - cos (x + y)

A

2sinxsiny

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Q

Expand cos (x + pi/6)

A

1/2 (square root3cosx - sinx)

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Q

Expand cos (pi - theta)

A

-1costheta

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Q

A

a) 5/13
b) 4/5
c) 56/65

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Q

A

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Q

Sin (A + B) =

A

sinAcosB + cosAsinB

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Q

sinAcosB + cosAsinB = ?

A

Sin (A + B)

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Q

Sin (A - B) = ?

A

SinAcosB - cosAsinB

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Q

SinAcosB - cosAsinB =

A

Sin (A - B)

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Q

Expand sin (U + V)

A

sinUcosV + cosUsinV

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Q

Sin (P - Q)

A

sinPcosQ - cosPsinQ

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Q

By writing 105 as 60 + 45 find the value of sin105

A

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Q

Simplify sin100cos55 - cos100sin55

A

Q

A

Q

A

16/65

Q

A

Q

A

-cos theta

Q

Simplify cos (x + 60) - sin (x + 30)

A

Q

Simplify sin(x + 150) + sin(x - 330)

A

cosx

Q

A

Q

A

Q

Tanx = ?

A

Sinx / cosx

Q

A

Q

A

63/65

Q

All trig identities

A

Q

Write sin4x using trig identities

A

2sin(2x)cos(2x)

Q

Write cos10x using trig identities

A

cos^2 (5x) - sin^2 (5x)

Q

A

1/2

Q

A

1/ square root 2

Q

A

a) 1/ root 10

b) 3/5

c) -4/5

d) -24/25

Q

A

15/17

Q

A

Q

A

Q

A

90, 210, 270, 330

Q

A

0, 90, 360

Q

A

0, 120, 180, 240, 360

Q

A

0, 60, 90, 300, 360

Q

A

0, 60, 300, 360

Q

A

x = 41.8, 138.2, 210, 330

Q

A

60, 180, 330

Q

A

Q

A

a) y = 3sinx
y = cos2x + 1

b) A(30, 1.5), B(150, 1.5)