entity given. ustructions: Identify the identity on the highlighted part, identify the igonometric identity being discussed, and supply the missing parts. cos (2X) = cos2x- sin2 x. Since X= 0 cos (20) = cos 0- sin2 0, and cos sin2e, so Simplify: cos (20) = 1- 2sin0; proved cos (2x+x) cos 2x cosx- sin 2x sin x 1. = COS = COS cos(20) = 1 %3D 2. cos 3x %3D %3D (2 cos2x -1) cos x - (2sin x cos x) sin x 2 cos3x - 2 cos3x - cos x- 2 %3D cos X - %3D (1- cos2 X) cos X %3D 4 cos3x-3 cos x> %3D sin2e + cos2e1 cos2e cos2e 2 3. sin2e + cos2e = 1> sin %3D kos A tos e

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.