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Popular Questions - Geometry

What is the reference angle for ##(14pi)/3##?

It is always possible to add, or subtract, ##2pi## to an angle to obtain an equivalent one. The symbol ##-=## in the following passages is not a real ##=##, but only an equivalent symbol....

How do you simplify ##Sin(Cos^-1 x)##?

##sin(cos^(-1)(x)) = sqrt(1-x^2)## Let’s draw a right triangle with an angle of ##a = cos^(-1)(x)##. As we know ##cos(a) = x = x/1## we can label the adjacent leg as ##x## and the hypotenuse...

How do you solve ##Cos 2 theta = cos theta##?

##theta=(2n+1)pi/2## or ##theta=2npi+-(2pi)/3##, where ##n## is an integer. ##cos2theta=costheta## or ##2cos^2theta-1=costheta## (using formula for ##cos2theta##) the above becomes...