Kumon Level M Test Questions And Answers.

tan30°/tan60° + cos60°sin30° - Answer-7/12 θ=330° - Answer-sinθ = -1/2 cosθ = √3/2 tanθ = -√3/3 tan(π/4)tan(π/3) + cos(π/6)tan(π/6) - Answer-(7√3)/6 sinθ = 12/13, find cos(π/2-θ). - Answer-cos(π/2-θ) = 12/13 2sinx/2 = √3 - Answer-x = 2/3π, 4/3π y = cos(2x-π/2) + 2 - Answer-Period is π graph is translation of y=cos2x, π/4 units on x axis and 2 on y axis tan(x/2)>-1 - Answer-0≤x<π, 3/2π<x<2π y = 2sinx +1 - Answer-sinx = 1, MAX = 3, x=π/2 sinx = -1, MIN = -1, x=3π/2 Obtain sin2a, cos2a and tan2a when cosa = -2/√5 - Answer-sin2a = 4/5cos2a = 3/5 tan2a = 4/3 4cos40°cos50° - 4sin27.5°sin17.5° - Answer-√2 sinx + cosx = -1 - Answer-sin(x+π/4) = -√2/2, x = π, 3/2π A(3,4) and B(-3,-2) find the distance. - Answer-D=6√2 A(3,4) and B(-3,-2) find the midpoint. - Answer-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) - Answer-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. - Answer-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). - Answer-(1,1): a+b+c=-2 (3,0): 3a+c=-9 (1,-3): a-3b+c=-10EQUATION: x^2 + y^2 -5/2x + 2y - 3/2 = 0 A line passing through (2,3) and parallel to 3x-y=7 - Answer-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. - Answer-D/4 = (7m+1)(m-1), m = -1/7, 1 LINES: y=-1/7x y=x