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The value of ##cos 90^@## is 0.

##tantheta = 1/sqrt(8) = sqrt(8)/8## Because theta is greater than 180 and less than 270 you know this is a 3rd quadrant triangle. So I have […]

sqrt3/2 There are 2 ways that don’t need calculator a. Trig table of special arc –> ##cos (pi/6) = sqrt3/2## b. Use triangle trigonometry Consider a […]

##tan(60)=sqrt(3)## Have a look:

##sin(60)-cos(60)=(sqrt3-1)/2## The exact values of ##cos(60)## and ##sin(60)## are: ##cos(60)=cos(pi/3)=1/2## ##sin(60)=sin(pi/3)=sqrt3/2## ##rarr sin(60)-cos(60)=sqrt3/2-1/2=(sqrt3-1)/2##

1. Covert ##pi/3## to degree measure: ##pi/3= (cancelpi/3)(180^o/cancelpi)=60^o## The angle ##60^o## is on the first quadrant at the same time it is already the reference angle […]

They can be determined by looking at the coefficients and their location. Let’s look at this equation: ##y = Acos(Bx)## The ##A## and ##B## coefficients can […]

We have to prove that ##(1-sin2x)/(cos2x)=(cos2x)/(1+sin2x)## To do this we transform left side: ##(1-sin2x)/(cos2x)=((sin^2x+cos^2x)-2sinxcosx)/(cos2x)## ##=(sin^2x-2sinxcosx+cos^2x)/(cos^2x-sin^2x)## ##=(sinx-cosx)^2/((cosx-sinx)(cosx+sinx))## ##=((sinx-cosx)^2)/(-(sinx-cosx)(sinx+cosx))## ##=(cosx-sinx)/(cosx+sinx)## Now we expand the expresion by multiplying both […]

12 A dodecagon is a ##color(blue)polygon## with 12 sides and 12 angles.