Consider a circle of radius ##8## centimetres. Recall that the centre angle in a circle is always ##360##. However a semi-circle is a circle cut in […]
see below Use Formulas: ##sin (A+B)=sinAcosB+cosAsinB## ##cos(A+B)=cosAcosB-sinAsinB## ##A=x+y B=z## Left Side:##=sin((x+y)+z)=sin (x+y)cosz+cos(x+y)sinz## ##=(sinxcosy+cosxsiny)cosz+(cosxcosy-sinxsiny)sinz## ##=sinxcosycosz+cosxsinycosz+cosxcosysinz-sinxsinysinz## ##=##Right Side
No. See explanation. Let’s look at the definitions in terms of sines and cosines (because tangents and cotangents are just ratios of sines and cosines). Cotangent […]
Using ##tan 90^o=+-oo## tan 45^o=1 ##tan 90^o=+-oo=(2 tan 45^o)/(1-tan^2 45^o##. Equating the denominator to 0 ##tan^2 45^o=1 and tan 45^o=+-1## The first quadrant tangent ##tan 45^o […]
Find ##sin(45) cos(45) tan(45)## and flip their values to find the remaining three. It would be easier to use a unit circle to memorize this stuff. […]
Refer to explanation The half angle formula for tangent can be written as follows ##tan(theta/2)=(1-costheta)/sintheta## Now set ##theta=pi/4## you get ##tan(pi/8)=(1-cos(pi/4))/(sin(pi/4))=(1-sqrt2/2)/(sqrt2/2)=(2-sqrt2)/sqrt2##
##49/18=2 13/18## The opposite sides of a parallelogram are ##color(blue)parallel and equal in length## Thus perimeter ##=(2xx11/12)+(2xx4/9)## ##=cancel(2)^1xx11/cancel(12)^6+8/9=11/6+8/9## To add fractions we require a common denominator […]