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sin(2x+x)=sin2x.cosx+cos2x.sinx =2sinxcosx.cosx+(-2sin^2x)sinx =2sinxcos^2+sinx-2sin^3x =sinx(2cos^2x+1)-2sin^3x=sinx(2-2sin^2x+1)-2sin^3x =2sinx-2sin^3x+sinx-2sin^3x = 3sinx-4sin^3x
examples of construction of excircles
the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is
f Y is a discrete random variable with expected value E[Y ] = µ and if X = a + bY , prove that Var (X) = b2Var (Y ) .
Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri
Q. Illustrate Exponential Distribution? Ans. These are two examples of events that have an exponential distribution: The length of time you wait at a bus stop for the n
Calculate the area and perimeter of a right triangle: Calculate the area and perimeter of a right triangle with a 9" base and sides measuring 12 and 15. Be sure to involve th
Rejection and Acceptance regions All possible values which a test statistic may either suppose consistency along with the null hypothesis as acceptance region or lead to the re
What is 2 5 ? 2 5 = 2 ×2 ×2 ×2 ×2 = 32
Estimation of difference among two means We know that the standard error of a sample is given by the value of the standard deviation (σ) divided by the square root of the numbe
Prove that the area of a rhombus on the hypotenuse of a right-angled triangle, with one of the angles as 60o, is equal to the sum of the areas of rhombuses with one of their angles
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