What is expand sin(x-(3pi)/4) ?

The solution to expand sin(x-(3pi)/4) is -sin(pi/4+x)

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expand sin(x-(3pi)/4)

expand

sin (x - \frac{3 π}{4})

- sin (\frac{π}{4} + x)

Solution steps

sin (x - \frac{3 π}{4})

Rewrite using trig identities

= \frac{- 2 sin ( x ) - 2 cos ( x )}{2}

Factor

- cos (x) 2 - sin (x) 2 : - 2 (cos (x) + sin (x))

= \frac{- ( cos ( x ) + sin ( x ) ) 2}{2}

Rewrite using trig identities

= - sin (\frac{π}{4} + x)

(- 1, - 3) y (2, - 5)

(e^{z} + e^{- z})^{2}

\frac{d}{d m} ((r (m)) (m^{2} (\frac{c}{2} - \frac{m}{3})))

\frac{x ^{2} ( y - 1 ) cos ( \frac{4}{y - 1} )}{x ^{2} + 3 ( y - 1 ) ^{2}}

y (\frac{t}{5} - \frac{sin ( 5 t )}{25})

What is expand sin(x-(3pi)/4) ?
The solution to expand sin(x-(3pi)/4) is -sin(pi/4+x)