Question

Evaluate : 3 tan square 30°+ tan square 60° + cosec 30°- tan 45° / cot square 45°

Answer 1

Answer: Our required answer is 5.

Step-by-step explanation:

Since we have given that

$\frac{3\tan^2 30^\circ+\tan^2 60^\circ+\cosec 30^\circ-\tan 45^\circ}{\cot^2 45^\circ}$

We need to evaluate the above expression:

As we know the values of trigonometric ratios from the table:

$\tan 30^\circ=\frac{1}{\sqrt{3}}\\\\\tan 60^\circ=\sqrt{3}\\\\\tan 45^\circ=1\\\\cosec\ 30^\circ=2\\\\\cot 45^\circ=1$

So, our equation becomes,

$\frac{3\times \frac{1}{\sqrt{3}}^2+\sqrt{3}^2+2-1}{1^2}\\\\=\frac{3\times \frac{1}{3}+3+1}{1}\\\\=1+3+1\\\\=5$

Hence, our required answer is 5.

Answer 2

Answer:

hope this helps ...........