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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
