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Allowing that r could be negative (against the befitting definition that as length (modulus ) of a vector ##r>=0) r =-3## represents the circle with center […]

##the perimeter of triangle is :14.47 units## ##let sides of triangle be aband c## ##perimeter of the triangle is s=a+b+c## ##a=sqrt(5^2+4^2)=sqrt(25+16)=sqrt(41)## ##|a|=6.40 units## ##b=sqrt(5^2+3^2)=sqrt(25+9)=sqrt(34)## ##|b|=5.83 units## […]

##arctan( sqrt (3) ) = 60^@## or ##pi/3## radians If ##theta = arctan ( sqrt (3))## then ##tan (theta) = sqrt (3)## by definition of tan-arctan […]

see explanation To prove require to manipulate one of the sides into the form of the other. choosing the left side (LHS) gives ## 1 -(sin^2x/(1-cosx))## […]

The answer is It depends If it’s a function the answer is ##pi/4## If it’s the fiber the answer is ##{pi/4 + 2kpi} cup{{3pi}/4 + 2kpi} […]

All of them add up to 180 degrees. In all triangles no matter on the size of the angle they will all add up to 180 […]

The area of a kite is given by ##A=(pq)/2## Where ##pq## are the two diagonals of the kite and ##A## is the area of he kite. […]

##1556## (Rounded to two decimals) We know that our diagonal (##c## or hypotenuse in the image) is ##22##. As we know that each side of a […]

##(sqrt2)/2## Convert ##pi/4## into degree value by multiplying it to ##180/pi##. You’ll get 45. Sin45 = ##(sqrt2)/2## You may apply the SOH-CAH-TOA for this one given […]