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##=56.52cm## The formula for the circumference of a circle is ##=2 pi r## The radius ##=9 cm## circumference ##=2 pi r## ##=2 xx 3.14 xx 9## […]

Let ##a## be the altitude of the lighthouse above sea level ##a=55 ft## and ##b## the distance of the boat from the foot of the lighthouse […]

Use the trig unit circle as proof. ##sin 300 = sin (-60 + 360) = sin (-60) = -sin 60 =#### (-sqrt3)/2## ##cos 300 = cos […]

A heptagon

Use the cosine and sine half angle formulas: First let’s solve for ##sin(pi/12)##. If we let ##theta=pi/6## then we see that: ##sin((pi/6)/2)=+-sqrt((1-cos(pi/6))/2)## We will take the […]

Rectangle Area ##=lw## Triangle Area ##=1/2bh## Set the two areas equal to each other solve for x then substitute x back into the area for the […]

##49sqrt3## We can see that if we split an equilateral triangle in half we are left with two congruent equilateral triangles. Thus one of the legs […]

Apothem is ##25## ##cm.## and volume of cone is ##1500pi## ##cm^3##. In a cone whose radius at base is ##r## and height is ##h## its apothem […]

period of ##sin((2pi)/5t) = 5## frequency of ##sin((2pi)/5t) = 1/5## ##sin(theta)## has a period of ##2pi## relative to ##theta## ##rArr sin((2pi)/5t)## has a period of ##2pi## […]