C2 Core Maths - Chapter 2 Notes

Chapter 2 - The sine and cosine rules

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AS Core Maths 2 Revision
Core 2 Chapter 2
The sine and cosine rule
Key points to remember
The sine rule is:
(a ÷ sinA) = (b ÷ sinB) = (c ÷ sinC) OR...
(sinA ÷ a) = (sinB ÷ B) = (sinC ÷ c)
N.B These should all be written as fractions, not as division
sums
Then most likely solved making one equal to the other.
You can use the sine rule to find an unknown side in a triangle
if
you know two angles and the length of one of their opposite
sides.
You can use the sine rule to find and unknown angle in
a triangle
given that you know the lengths of two sides and one of their
opposite angles.
if the angle you are finding is opposite the larger of the two
sides, then there are two possible values for the angle, unless
it
is a right angle.
The cosine rule is:
a2 = b2 + c2 - 2bccos A

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B
or c2 = a2 + b2 - 2abcos C
You can use the cosine rule to find an unknown side in a
triangle
if you know the lengths of two sides and the angle between
them
You can use the cosine rule to help you find an unknown angle
in
a triangle if you know the lengths of all three sides.…read more

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