trig Flashcards

1
Q

two trig triangles

A
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2
Q

proof of sin rule

A
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3
Q

proof of cosine rule

A
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4
Q

proof of area of a triangle

A
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5
Q

unit circle

A
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6
Q

radians

A
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7
Q

arc length - radians

A
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8
Q

area of sector - radians

A
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9
Q

derive small angle approximations

A

????

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10
Q

trig graphs + period

A
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11
Q

inverse trig functions

A

 Arcsin / Arccos / Arctan

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12
Q

how to draw inverse trig

A

Restrict domain to make function 1 to 1

Reflect sin / cos / tan graph in line y=x

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13
Q

inverse trig equations

A
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14
Q

Reciprocal of normal trig function

A

Cosec / sec / cot

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15
Q

asymptote for reciprocal trig

A

 Must have asymptote when tan / cos / sin go through x axis because 1 divided by 0 is impossible

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16
Q

Trig identities

A
17
Q

Proof of compound angle formula

A
18
Q

Double angle formula

A
19
Q

equivalent forms

A
20
Q

how to solve trig equations

A

If range is more than 360…

Find ALL answers between 0 and 360

Keep adding on NEW period of graph - NOTESSSS

21
Q

what to do if funny trig function

A

Solve normally – THEN apply translations

THEN – add on period until all solutions

22
Q

UNDERSTAND COS AND SIN AS TRANSLATIONS OF EACHOTHER

A
23
Q

HOW TO SOLVE TRIG IMPORTANT

A

solve normally - between 0 and 360

apply transformations

add period of NEW graph until all in range

24
Q

small angle approx - cos5x

A

take theta as 5x
so square that too