Maths - Pure - Trigonometry

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What I need to memorise for trig

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15 Terms

1
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How often does the sine graph repeat?

Every 2pi or every 360 degrees

2
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How often does the cosine graph repeat?

Every 2pi or every 360 degrees

3
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How often does the tangent graph repeat?

Every 1pi or every 180 degrees

4
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What is sin2x + cos2x ?

1

5
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what is tan x in terms of sine and cosine?

tan x = sin x / cos x 

6
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What is sec x?

1 / cos x

7
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what is cosec x?

1 / sin x

8
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What is cot x?

1 / tan x = cos x / sin x

9
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how many radians in 180 degrees?

pi radians

10
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Arc length of sector radius r, angle theta (radians)?

r * theta

11
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Area of sector radius r, angle theta (radians)?

½ * theta 

12
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what is the double angle formula for sine?

sin(2x) = 2sin(x)cos(x)

13
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What is the double angle formula for cosine?

cos(2x) = cos²(x) - sin²(x)

14
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In what other forms can you write the double angle formula for cos(2x)?

2cos²(x) - 1

1 - 2sin²(x)

15
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What is the double angle formula for tangent?

tan(2x) = 2tan(x) / (1-tan²(x))