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sin 3x = 0 ##a. sin 3x = 0 = sin 0 -> x = 0## ##b. sin 3x = 0 = sin pi -> 3x […]

If ##tan theta = 3/4## and ##tan theta = (opposite side)/(adjacent side) = a/b## then ## a = 3 b = 4## solve for the hypotenuse […]

Refer to explanation We have that ##sin(150)=sin(180-30)=sin30=1/2## ##csc(150)=1/sin(150)=2## ##cos (150) = cos(30) =-sqrt3/2 ## ##sec(150) = 1/cos(150)=-2/sqrt3## ##tan(150)=-tan(30)=-sqrt3/3## ##cot(150)=1/tan(150)=-sqrt3##

##x=pi/4+(kpi)/2## where ##k## is any integer Factor using the difference of squares technique. ##a^2-b^2=(a+b)(a-b)## Thus ##tan^2x-1=(tanx+1)(tanx-1)## Now substitute this in the original equation. ##(tanx+1)(tanx-1)=0## When the […]

##cos^(-1)(0.55)=56.632987^o## The inverse cosine for a number is represented as ##cos^(-1)x##. It allows you to determine the angle. So the inverse cosine of ##0.55## is ##cos^(-1)(0.55)##. […]

##sqrt3## Using unit circle and trig table of special arcs –> ##tan ((4pi)/3) = tan (pi/3 + pi) = tan (pi/3) = sqrt3##

The first one is a Theorem while the latter is a set of three numbers (i.e. a triple) satisfying the Pythagorean relation. Specifically the states that […]

Surface area to volume ratio of a sphere equals to ##3/r## where ##r## is the sphere’s radius. Surface area of a sphere with radius ##r## equals […]

##0## ##1## ##2## or ##3## The sum of the internal angles of a quadrilateral is ##360^@##. Hence the maximum number of acute angles a quadrilateral can […]