What is x/(tan(45+y)) ?

The solution to x/(tan(45+y)) is (x(cos(y)-sin(y)))/(cos(y)+sin(y))

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simplify x/(tan(45+y))

simplify

\frac{x}{tan ( 4 5 ^{\circ} + y )}

\frac{x ( cos ( y ) - sin ( y ) )}{cos ( y ) + sin ( y )}

Solution steps

\frac{x}{tan ( 4 5 ^{\circ} + y )}

Rewrite using trig identities

= \frac{x}{\frac{c o s ( y ) + s i n ( y )}{c o s ( y ) - s i n ( y )}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{x ( cos ( y ) - sin ( y ) )}{cos ( y ) + sin ( y )}

sin^{4} (π - θ)

\frac{1}{csc ( x ) sin ( - x )}

arcsin (sin (\frac{π}{2} - x))

3 cos (2 x + \frac{1}{3} π)

sin (2 x + 2 π)

What is x/(tan(45+y)) ?
The solution to x/(tan(45+y)) is (x(cos(y)-sin(y)))/(cos(y)+sin(y))