Trigonometrical Equations
normal

The set of values of $x$ satisfying the equation,${2^{\tan \,\,\left( {x\,\, - \,\,{\textstyle{\pi  \over 4}}} \right)}}$ $- 2$${\left( {0.25} \right)^{\frac{{{{\sin }^2}\,\left( {x\,\, - \,\,{\textstyle{\pi  \over 4}}} \right)}}{{\cos \,\,2x}}}}$ $+ 1 = 0$, is :

A

an empty set

B

a singleton

C

a set containing two values

D

an infinite set

Solution

simplifies to ${2^{\tan \,\,\left( {x\,\, – \,\,{\textstyle{\pi  \over 4}}} \right)}}$ $= 1$ $\Rightarrow x = \pi /4$ which is not possible 

Standard 11
Mathematics

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