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Formula for area of a sector |
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Definition
A= (r^2 x theta)\2
theta = Radians
conversion: (µ/180) |
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Definition
S= theta * r
s= arc length
theta= units of radian
(s=r in units) |
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2*pi radians
1 rev also = cirumference (2pi*r) |
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| relationship between linear speed and angular speed? (formula-2) |
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Definition
linear speed= Angular speed * r
s/t = (r*theta)/t |
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| sides of equilaterial triangle? |
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Definition
30,60,90 triangle
x= bottom
hypo= 2x
center- sqrt 3
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| sides of isoceles R triangle |
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Definition
1/1 for sides
sqrt 2 for hypotenus |
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| tom sits on celly= relationship b/w (tan/cos/sin) |
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Definition
| tan (theta) =sin(o) /cos(o) |
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| how many ft are in a mile? |
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use "fundamental identities" to find vales of trionometric function given sin 3/4 where cos is a neg.
how do we solve? |
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Definition
| Fundamental identiies solving like normal using sin values assigning to triangle solve for missing side using Pythagorean thereom and plug (do not multiple sqrt to simiplify) |
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| if given an angle 60/30/90, and given one side how do you find x and y? |
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Definition
| use tan angle/ or sin angle etc... = to the side given of w/e side looking, convert the tan/cos/sin angle into a fraction using (sqrt*3/2/1) cross multiply. |
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3 pythagorean identities pg 377
proof |
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Definition
***sin^2Φ + cos^2Φ=1
1+ tan^2Φ = sec^2Φ
1+ cot^2Φ = csc^2Φ
-->(divide *** by sin2Φ or cos2Φ to gget other 2!) |
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