What is expand sin(x+pi/4) ?

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

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expand sin(x+pi/4)

expand

sin (x + \frac{π}{4})

sin (\frac{π}{4} + x)

Solution steps

sin (x + \frac{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)

Could not expand further

= sin (\frac{π}{4} + x)

(c - d) (e + f)

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

\frac{2 cos ( z )}{( z - 3 ) ^{3}}

\frac{x}{( 1 + 4 x ) ^{2}}

(sinh (x) + cosh (x))^{4}