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You can use some identities to make this easier. ##cos(50^o) = cos(-50^o) = -cos(130^o)## due to ##cos(x) = cos(-x)## ##cos(x) = -cos(x+pi)## Thus you have: ##tan(130^o) […]

About 6.3 inches To find the length of a side of a square you need to find the square root of its area. Rounded to the […]

Length ##11m## and width ##7m##. The step by step explanation on working is given below. Perimeter of rectangle is given by the formula ##P=2(l+w)## From the […]

##sin(x)xxsin(x) = sin^2(x)## There are other answers for example since ##sin^2(x)+cos^2(x) = 1## you could write ##sin(x)xxsin(x) = 1-cos^2(x)## (but that’s not much of a simplification)

##A = (25sqrt(3))/2## First let’s look at a picture. Some initial observations: The area ##A## of the rectangle is ##A=bh##. By symmetry the base of the […]

##/_theta = arctan((sqrt(3)-1)/2)~~0.350879411 rad## ##S_(EAD) = 2## From right triangle ##Delta ABE## knowing hypotenuse ##AE=4## and cathetus ##AB=2## we can find another cathetus: ##BE=sqrt(4^2-2^2)=sqrt(12)=2sqrt(3)##. In the […]

##43^@ and 47^@## Complementary angles are ##color(blue)2 angles whose sum is 90 degrees## Hence ##2x + 5## and ##3x – 10## sum to ##90##. ##rArr2x+5+3x-10=90larr equation […]

##cos x = x = 1/4## ##sin x = y = 1/6## ##tan c = sin x/cos x = 6/4 = 3/2## ##cot x = 2/3 […]

This is just a trig question to get the solution into a different form; Recall the sine addition formula: ## sin (A+ B) =sinAcosB + cosAsinB […]