Simplifying tan(arccos(x/3))

[TKDKicker89]

Can anyone help asap?

tan(arccos x/3)

THanks

 

[Jameson]

Draw a right triangle. If arccos x/3 = theta, draw that triangle.

 

[BobG]

if $$\theta=cos^{-1} \frac{x}{3}$$

then $$\frac{x}{3}$$ is the cosine of $$\theta$$

You can use the pythagorean theorem to find the sine of $$\theta$$

$$\cos^2 \theta + \sin^2 \theta = 1$$

The tangent of $$\theta$$ is $$\frac{sin \theta}{cos \theta}$$