Multiply and simplify sin theta cos thetacos theta sin thet

Multiply and simplify sin theta cos theta/(cos theta + sin theta)(cos theta + sin theta) - 1 sin theta cos theta/(cos theta + sin theta)(cos theta + sin theta) - 1 = (Use Integers or fractions for any numbers in the expression.)

Solution

We have given (sin()cos())/((cos()+sin())*(cos()+sin())-1)

(sin()cos())/((cos()+sin())*(cos()+sin())-1) =(sin()cos())/((cos()+sin())²-1)

=(sin()cos())/(cos²()+sin²()+2cos()sin()-1)

=(sin()cos())/(1+2cos()sin()-1) since cos²()+sin²()=1

=(sin()cos())/(2cos()sin())

=1/2

(sin()cos())/((cos()+sin())*(cos()+sin())-1) =1/2