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Math - GCSE > Triganometry > Flashcards

Triganometry Flashcards

1
Q

What are the five rules to know for trigonometry?

A

Only works on right angled triangles
Hypotenuse is the length opposite the right angle
0=theta, an angle in the triangle (not the right angle
Opposite is the length opposite 0
Adjacent is the side adjacent to 0, but not the hypotenuse

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2
Q

Adjacent means what?

A

Next to

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3
Q

Sin 0 = ?

A

Opposite / Hypotenuse

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4
Q

Cos 0 = ?

A

Adjacent / Hypotenuse

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5
Q

Tan 0 = ?

A

opposite / Hypotenuse

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6
Q

What does ‘sin’ stand for?

A

Sine

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7
Q

What does ‘cos’ stand for?

A

Cosine

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8
Q

What does ‘tan’ stand for?

A

Tangent

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9
Q

What are the two ways to remember trigonometry equations?

A

Smiles or happiness come after drinking tonnes of alcohol

SOHCAHTOA

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10
Q

|. \
|. \10cm
x|. \
|___60*__\

Which trigonometry equation would you use?

A

Theta = 40*
Opp=x
Hyp=10cm
Adj= —-

Sin = opp/adj

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11
Q

|. \
|. \10cm
x|. \
|___60*__\

Work out the length AB

A 
Sin 0 = opp/hyp
(Substitute in knowns)
Sin 60 = x/10
/x10
10xsin60= x
(Enter it into the calculator as Sin(60) x 10
8.6602=x
8.7cm=x
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12
Q 
|60*\
  |.        \
x|.           \
  |\_\_\_\_\_\_\_\_\_\
       8cm

Work out the length AB

A 
Tan 0 = opp/adj
Tan 0=8cm/x
/xX
X x tan60 = 8
/divide by tan60
X=8/tan60
(Calculator: 8/tan(60)
X=4.62cm
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13
Q

ABC IS a right angled triangle. Length AC is 12cm. Length AB is 6cm. Find angle BAC.

    | \ 6cm|.     \12cm
    |.          \
    |\_\_\_\_\_\_\_\_\_\_\
A 
Cos 0 = adj/hyp
Cos0 = 6/12
/cos^-1
0=cos^-1 (6/12)
0=60
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14
Q

Sin theta 0* = ?

A

0

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15
Q

Sin theta 30* = ?

A

1/2

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16
Q

Sin theta 45* = ?

A

1/(square root of 2) - (square root of 2)/2

17
Q

Sin theta 60* = ?

A

(Square root of 3)/2

18
Q

Sin theta 90* = ?

A

1

19
Q

Cos theta 0* = ?

A

1

20
Q

Cos theta 30* = ?

A

(Square root 3)/2

21
Q

Cos theta 30* = ?

A

(Square root 3)/2

22
Q

Cos theta 45* = ?

A

1/(square root 2) - (square root 2)/2

23
Q

Cos theta 60* = ?

A

1/2

24
Q

Cos theta 90* = ?

A

0

25
Q

Tan theta 0* = ?

A

0

26
Q

Tan theta 30* = ?

A

1/(square root 3)

27
Q

Tan theta 45* = ?

A

1

28
Q

Tan theta 60* = ?

A

Square root 3

29
Q

Tan theta 90* = ?

A

Error

30
Q

What is the exact value for 6cos 30*?

A

=6x(square root 3)/2
=6(square root 3)/2
=3(square root 3)/1

31
Q

What is the exact value of 8x1/(square root 2)

A 
=8/1x1/(square root 2)
=8/(square root 2)
/x square root 2
=8(square root 2)/2
=4(square root 2)
32
Q

ABC is a right angled triangle. Length AC is 12cm. Length AB is 6cm. Find angle BAC.

A 
Cos 0 = adj/hyp
Cos 0=6/12
/cos ^-1
0=cos ^-1 (6/12)
0=60*

(Cos is a function not a number. Cos ^-1 is undoing this function.)

33
Q 
Work out value of x
   12cm   /.  | xcm
            /.      |
        /.30*   | (right angle)
       ---------
A 
Sin 0=opp/hyp
Sin 30=x/12
/x12
12xsin30= x
=12x1/2= x
=6 = x

Math - GCSE (24 decks)

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