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trignometry problems

◄ Ray optics - phenomena

Hi,

can you pls. solve following problem

If tan(∏cosΘ)=cot(∏sinΘ) , then find sin((∏/4) + Θ)

Re: trignometry problems

by Srinath Murthy - Sunday, 26 October 2014, 11:01 PM

$\\tan (\pi \cos \theta ) = \cot (\pi \sin \theta) \\tan (\pi \cos \theta ) = \tan \left( {{\pi \over 2} - \pi \sin \theta } \right) \\\pi \cos \theta = {\pi \over 2} - \pi \sin \theta \\sin \theta + \cos \theta = {1 \over 2} \\sin \left( {{\pi \over 4} + \theta } \right) = {1 \over {\sqrt 2 }}\sin \theta + {1 \over {\sqrt 2 }}\cos \theta = {1 \over {2\sqrt 2 }}$

◄ Ray optics - phenomena