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##tan^2x## Start with simplifying ##tan^2x## and ##cot^2x## : ##(1+sin^2x/cos^2x)/(1+cos^2x/sin^2x)## this is the same as: ##(1+sin^2x/cos^2x) * (1/(1+cos^2x/sin^2x))## ##1## in the first parantheses can be rewritten as: […]

##V = 2.1*10^-5m^3## The volume of a sphere is given by ##V= 4/3 pi * (radius)^3## ##=4/3 pi*(1.7*10^-2)^3 m^3## ##=2.057 * 10^-5 m^3 ~~ 2.1*10^-5m^3##

##144.4^@## Supplementary angles by definition are pair of angles whose sum is equal to ##180^@##. So to find the supplementary angle pair of ##35.6^@## you just […]

Start from the left side. Since the right side contains cosines rewrite the cosecant and cotangent functions as sines and cosines. ##(cscx-cotx)^2=(1/sinx-cosx/sinx)^2=(1-cosx)^2/sin^2x## Use the identity ##sin^2x+cos^2x=1##. […]

##11 pi## radians The smallest polygon is the triangle. It has a total of ##pi## radians as the sum of internal angles. Any other polygon can […]

An octagonal prism has (See image below of an octagonal prism). If placed on one of its ends an octagonal prism has ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ There are ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ […]

4 feet 6 inches height 7ft 2inches 6ft 4 inches 86inches 76inches shadow x 4ft=48inches sodydek’s shadow is 4 feet 6 inches long.

##sin(arctan(12/5)) = 12/13## From the trig identity ##sin^2(theta) + cos^2(theta) = 1## we divide both sides by ##sin^2(theta)## ##1 + cos^2(theta)/sin^2(theta) = 1/sin^2(theta)## Since ##sin(theta)/cos(theta) = […]

##390 = 360+30 = 30## The ratios of 390 are the same as the ratios of 30. ##sin 390 = sin (30 + 360) = sin […]