化简 tan(pi/4-x)

解答

化简

tan (\frac{π}{4} - x)

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

求解步骤

tan (\frac{π}{4} - x)

使用三角恒等式改写

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

sin (arctan (\frac{x}{3}))

sin (18 0^{\circ} + x)

sin (tan (- 1 (x)))

tan (arcsin (\frac{x}{2}))

tan (arcsin (\frac{x}{3}))