Question

IF $\tan {30}^{\circ }=x,\tan {45}^{\circ }=y,\tan {60}^{\circ }=z,$ ,then

• A. $x+y=z$
• B. $xy=z$
• C. $xz=y$
• D. $y+z=x$

Answer 1

The correct option is C $xz=y$

We have,

$x=\tan {30}^0=\frac{1}{\sqrt{3}}$

$y=\tan {45}^0=1$

$z=\tan {60}^0=\sqrt{3}$

Here,

$\tan {30}^0\tan {60}^0=\frac{1}{\sqrt{3}}\times \sqrt{3}=1$

So, $xz=y$

Hence, this is the answer.