Trig Rules T2 2023

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Last updated 6:45 AM on 6/6/23
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20 Terms

1
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When is sine law used?
When you have two angles and a side. Or when you have two sides and an angle. (AAS or SSA)
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When is cosine law used?
When you have a side angle side (SAS) or three sides(SSS).
3
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Special triangle with 45 degrees
Refer to note book
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Special triangle with 30 degrees
Refer to note book
5
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Cosine Law formula when finding an angle
angle A\= cos^-1(a^2-(b^2+c^2)/-2(b)(c))
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Cosine Law formula when finding a side
a^2\=b^2+c^2-2(b)(c)cosA
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sec^2 theta\=?
1+ tan ^2 theta
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csc ^2 tehta \=?
1 + cot ^2 theta
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cot theta \=?
cos theta / sin theta
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csc theta
1 / sin theta
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sec theta
1 / cos theta
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cot theta
1 / tan theta
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negative angle
measured clockwise
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related acute
angle between terminal arm and x-axis
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principal angle
counter clockwise between initial arm and terminal arm
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When does the ambiguous case arise?
When you have two sides and an angle (SSA)
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If cos starts at max, 'a' is \____
positive
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If sin goes up first, then 'a' is \_____
positive
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Formula for sinusoidal
f(x)\=(a)sin(k(x-d))+c
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p(x,y)
(x cos theta, y sin theta)