Solve x+sin^-11/sqrt{5}=pi/4

$$x + \sin ^ { - 1 } \frac { 1 } { \sqrt { 5 } } = \frac { \pi } { 4 }$$

Solve for x

$$x=\frac{\pi }{4}-\frac{250000000000000000}{1951317611637059}\approx -127.333160553$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$x + 0.007805270446548236 ^ {-1} = \frac{\pi}{4}$$

Multiply both sides of the equation by 4.

$$4x+4\times 0.007805270446548236^{-1}=\pi$$

Calculate 0.007805270446548236 to the power of -1 and get \frac{250000000000000000}{1951317611637059}.

$$4x+4\times \frac{250000000000000000}{1951317611637059}=\pi$$

Multiply 4 and \frac{250000000000000000}{1951317611637059} to get \frac{1000000000000000000}{1951317611637059}.

$$4x+\frac{1000000000000000000}{1951317611637059}=\pi$$

Subtract \frac{1000000000000000000}{1951317611637059} from both sides.

$$4x=\pi -\frac{1000000000000000000}{1951317611637059}$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{\pi -\frac{1000000000000000000}{1951317611637059}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{\pi -\frac{1000000000000000000}{1951317611637059}}{4}$$

Divide \pi -\frac{1000000000000000000}{1951317611637059} by 4.

$$x=\frac{\pi }{4}-\frac{250000000000000000}{1951317611637059}$$