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Find 6 values of trig functions. sin (-450) = sin (-90 – 360) = sin (-90) = – sin (90) = – 1 cos (-450) = […]

##40^circ40^circand100^circ## In an Isoceles triangle the two base angles are equal. Let the base angles be ##x##. Then the obtuse angle would be ##2 1/2*x## We […]

The 20-sided polygon AKA icosagon has ##18## degree rotational symmetry about the center.

##720^@## i.e. ##4pi## radians No matter how irregular the hexagon it can always be dissected into ##4## triangles. For example: Each of the ##4## triangles has […]

60 An isosceles triangle has two sides of equal length. Our base is length 10 and our perimeter is length 36. The perimeter equals the length […]

##sqrt2/2+1/2## Recall the unit circle: From the unit circle we can see that at ##45^o## the position of the angle on the unit circle is at […]

##-(2+sqrt3)##. ##tan285^@=tan(360^@-75^@)=-tan75^@=-tan(45^@+30^@)## ##=-{(tan45^@+tan30^@)/(1-tan45^@*tan30^@)}## ##=-{(1+1/sqrt3)/(1-1/sqrt3)}## ##=-{(sqrt3+1)/(sqrt3-1)}## ##=-{(sqrt3+1)/(sqrt3-1)*(sqrt3+1)/(sqrt3+1)}## ##=-(sqrt3+1)^2/2## ##=-1/2(3+2sqrt3+1)## ##=-(2+sqrt3)##.

Radius is ##8## centimeters. As diameter of a circle is double the radius (see figure below) the radius of a circle of diameter ##16## centimeters is […]

##A=(s^2sqrt(3))/4## ##A=(256sqrt(3))/4## ##A=64sqrt(3)/4##