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Precalculus Final Review
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Gravity
Terms in this set (31)
Reference
A__________ angle is between 0º and 90º.
1/2
sin(30º) is__________.
√2/2
sin(45º) is__________.
√3/2
sin(60º) is__________.
√3/2
cos(30º) is__________.
√2/2
cos(45º) is__________.
1/2
cos(60º) is__________.
√3/3
tan(30º) is__________.
1
tan(45º) is__________.
√3
tan(60º) is__________.
Unit circle
law of sines
Use the__________ when you have ASA or AAS.
K=1/2bcsinA
Use the equation__________ to find the area of a triangle when you have SAS.
K=1/2a^2(sinBsinC)/sinA
Use the equation__________ to find the area of a triangle when you have ASA or AAS.
hero's formula
Use__________ to find the area of a triangle when you have SSS.
acute (>90º)
You will ONLY have the Ambiguous Case iff angle A is________.
law of cosines
The__________ can be used to solve all triangles.
largest
When using the law of cosines, always find the__________ angle first. In other words, the angle opposite the longest side.
angle of elevation or depression
right
SOH-CAH-TOA only works with__________ triangles.
angle
When you are asked to find the arcsin or sin^-1, you must find an__________.
value
When you are asked to find the sin, you must find a__________.
angle in degrees, 2nd, APPS, 4
To find an angle measure in degrees, minutes, and seconds, put this into your calculator:
y=AsinB(x-C)+D
Write the formula for a sin/cos equation:
2π/period
B on a sin/cos equation is equal to__________.
-90º ≤ x ≤ 90º
sin and tan principal values are__________.
0º ≤ x ≤ 180º
cos principal values are__________.
sin^2ø + cos^2ø = 1
1 + tan^2ø = sec^2ø
1 + cos^2ø = csc^2ø
Name the three pythagorean identities:
0
When the dot product (or inner product) is equal to__________, then the two vectors are perpendicular.
True
True or False: When you want to put a parametric system into slope-intercept form (y=mx+b), you must solve for t in terms of x and substitute the t value into the y equation.
False
True or False: When doing the ambiguous case, the values you are given change.
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