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##(1+sqrt(2))/2## assuming the values are in degrees ##sin(45)=sin(pi/4)=sqrt(2)/2## ##cos(60)=cos(pi/3)=1/2## so ##sin(45)+cos(60)=sqrt(2)/2 + 1/2## ##=(1+sqrt(2))/2##

##(72)/2## It is a 45-45-90 triangle It is a isosceles Rt two catheti are equal to each other. Pythagoras theorem cathetus + cathetus = hypotenuse 2 […]

##9## ##sides## A regular Nonagon or an irregular Nonagon has ##9## sides The word nona means ##9## This is a Nonagon

##=226.2## inches Circumference ##=2pir## where ##r=radius=36## ##=2timespitimes36## ##=226.2## inches

##Cos (pi/5) = (sqrt (5)+1)/4##. Let ##a = cos(pi/5)## ##b = cos(2*pi/5)##. Thus ##cos(4*pi/5) = -a##. From the double angle formulas: ##b = 2a^2-1## ##-a = […]

The perimeter is ##10+3sqrt{3}+sqrt{127}## units. The hypoteneuse squared is 127. One leg squared is 100. The other leg squared must be the difference ##127-100=27##. Thus the […]

Use the Pythagorean identity to manipulate the right-hand side: since ##sin^2x+cos^2x=1## we know that ##-1=-sin^2x-cos^2x##. We can plug these in for the ##-1## and ##1## in […]

Without using the height you can use trigonometry … Area of a parallelogram ##=(ab)sin(C)## Where a and b are the lengths of the sides and C […]

##(4x-16)cms## Let the length be ##color(red)(x## Then The width will be written as ##color(red)(x-8## (Width of rectangle is ##8cm## less than length ) Perimeter of rectangle=##color(blue)(2(l+b)units## […]