What is sin(1/4 pi+x) ?

The solution to sin(1/4 pi+x) is sin(pi/4+x)

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simplify sin(1/4 pi+x)

simplify

sin (\frac{1}{4} π + x)

sin (\frac{π}{4} + x)

Solution steps

sin (\frac{1}{4} π + x)

Rewrite using trig identities

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

sin (a) - sin (- a)

(tan (x))^{2} + 1

sin (arctan (\frac{x}{6}))

csc (18 0^{\circ} - α)

tan (4 5^{\circ} - \frac{x}{2})