Question

Prove that : cos π/12 - sin π/12 = 1/√2

Answer 1

cos π/12 - sin π/12 = 1/√2

Take L.H.S:

cos \(\frac{\pi}{12}\) - sin \(\frac{\pi}{12}\)

{cos A = sin (90° - A)}

= \(\frac{1}{\sqrt 2 }\)

= R.H.S. 

Hence Proved