Equations
Vectors
Law of cosines
Law of sines
Vocabulary
100
Sinucosv-cosusinv
What is sin(u-v)
100
A vector with its initial point at the origin
What is Standard position?
100
The two combinations of sides and angles associated with the law of cosines.
What is SSS and SAS?
100
AAS, SSA
What are the two combinations of angles and sides that are used with the law of sines?
100
A directed line segment.
What is a vector?
200
2sinxcosx
What is sin2x
200
||v||=square root of [6^2+5^2]= 7.81
What is the magnitude of <6,5>?
200
Square root of [s(s-a)(s-b)(s-c)]
What is heron's area formula?
200
No such triangle exists, one triangle exists, two distinct triangles may satisfy the conditions
What is the three situations that can occur with the ambiguous case in SSA triangles?
200
Has the same direction as a given nonzero vector but has a magnitude of one.
What is a unit vector?
300
CosA=[b^2+c^2-a^2] /2bc
What is the equation to find angle A in the SSS case?
300
Note: not a what is question. Just solve. Find the component form and magnitude of the vector v. Initial point: (2,13) Terminal point: (7,10)
V=<5,-3> 5.83
300
Note: not a what is question. Just solve. Given A= 40, b=6, a=7 find the height
3.86
300
A math statement that is always true regardless of input.
What is an identity?
400
u*v=||u||||v||cosx
What is the equation for the angle between two non zero vectors?
400
Note: this is not a what is question. Just solve. dot product of <5,6>, <7,8>
83
400
Solve for the angle across from the longest side.
What is the first step for solving an SAS triangle?
400
For SSA, only one triangle is possible.
What is the possible number of triangles if a=h?
400
Equations that undo each other.
What are inverse functions?
500
Tanu-tanv/1+tanutanv
What is tan(u-v) expanded?
500
Note: not a what is question. Just solve. Find the direction vector of v=<1,-square root of 3>
300
500
Note: this is not a what is question. Just solve. Find the area of the triangle that sides are 6,7 and 4
11.98
500
Note: not a what is question. Just solve. Find the area of a triangular lot having two sides of lengths 40 m and 25m and an included angle of 125.
500 m
500
Note: not a what if question. Sine increases on what interval?
[-pi/2,pi/2]
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