Question

What is the correct sequence of the following values?
1. $\sin \left( \frac{\pi}{12}\right)$
2. $\cos \left( \frac{\pi}{12}\right)$
3. $\cot\left( \frac{\pi}{12}\right)$
Select the correct answer using the code given below

• A. 3 > 2 > 1
• B. 1 > 2 > 3
• C. 1 > 3 > 2
• D. 3 > 1 > 2

Answer 1

Answer: (A)

We work out the given statements .
1. $\sin \frac{\pi}{12} = \sin15^{\circ} = \frac{\sqrt{3} -1}{ 2\sqrt{2}}$
2. $ \cos \frac{\pi}{12} = \cos15^{\circ} = \frac{\sqrt{3} + 1 }{2\sqrt{2}} $
3. $\cot \frac{\pi}{12} = \cot 15^{\circ} = 2+ \sqrt{3} $
So, correct sequence is 3 > 2 > 1.