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Kumon Level M Test Flashcards

Mathematics18 CardsCreated 5 months ago

This deck contains flashcards for the Kumon Level M Test, covering trigonometric identities, equations, and geometry problems.

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tan30°/tan60° + cos60°sin30°

7/12
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Key Terms

Term
Definition
tan30°/tan60° + cos60°sin30°
7/12
θ=330°
sinθ = -1/2 cosθ = √3/2 tanθ = -√3/3
tan(π/4)tan(π/3) + cos(π/6)tan(π/6)
(7√3)/6
sinθ = 12/13, find cos(π/2-θ).
cos(π/2-θ) = 12/13
2sinx/2 = √3
x = 2/3π, 4/3π
y = cos(2x-π/2) + 2
Period is π graph is translation of y=cos2x, π/4 units on x axis and 2 on y axis
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Kumon Level M Test Flashcards
TermDefinition
tan30°/tan60° + cos60°sin30°
7/12
θ=330°
sinθ = -1/2 cosθ = √3/2 tanθ = -√3/3
tan(π/4)tan(π/3) + cos(π/6)tan(π/6)
(7√3)/6
sinθ = 12/13, find cos(π/2-θ).
cos(π/2-θ) = 12/13
2sinx/2 = √3
x = 2/3π, 4/3π
y = cos(2x-π/2) + 2
Period is π graph is translation of y=cos2x, π/4 units on x axis and 2 on y axis
tan(x/2)>-1
0≤x<π, 3/2π
y = 2sinx +1
sinx = 1, MAX = 3, x=π/2 sinx = -1, MIN = -1, x=3π/2
Obtain sin2a, cos2a and tan2a when cosa = -2/√5
sin2a = 4/5 cos2a = 3/5 tan2a = 4/3
4cos40°cos50° - 4sin27.5°sin17.5°
√2
sinx + cosx = -1
sin(x+π/4) = -√2/2, x = π, 3/2π
A(3,4) and B(-3,-2) find the distance.
D=6√2
A(3,4) and B(-3,-2) find the midpoint.
M = (0,1)
Obtain coordinates of point P which internally divides side AB into a ratio of 3:2
A(3,4) and B(-3,-2) P(-3/5, 2/5)
Obtain the equation of the line that passes through the point of intersection of lines x-4y=3 and also 3x-2y=5, and is perpendicular to the line 5x+y=6.
1+3k/2(2+k), k=-1/13, LINE: 5x-25y-17=0.
Obtain the equation of a circle passing through three points: (1,1), (3,0), and (1,-3).
(1,1): a+b+c=-2 (3,0): 3a+c=-9 (1,-3): a-3b+c=-10 EQUATION: x^2 + y^2 -5/2x + 2y - 3/2 = 0
A line passing through (2,3) and parallel to 3x-y=7
y-3 = 3(x-2) y = 3x-3
Obtain the equation of the line drawn from the origin and tangent to the circle x^2 + y^2 - 6x - 2y + 8 = 0.
D/4 = (7m+1)(m-1), m = -1/7, 1 LINES: y=-1/7x y=x