Question

The value of expression tan θ−cot θ at θ=30∘ is .

• A. $1$
• B. $\frac{1}{\sqrt{3}}$
• C. $\sqrt{3}$
• D. $\frac{1}{\sqrt{3}}-\sqrt{3}$

Answer 1

The correct option is D $\frac{1}{\sqrt{3}}-\sqrt{3}$

Value of $tan\theta at\theta ={30}^{\circ }is\frac{1}{\sqrt{3}}$ and the value of $cot\theta at\theta ={30}^{\circ }is\sqrt{3}.$
$So,tan{30}^{\circ }-cot{30}^{\circ }=\frac{1}{\sqrt{3}}-\sqrt{3}.$