A) \[22{}^\circ \]
B) \[23{}^\circ \]
C) \[24{}^\circ \]
D) \[25{}^\circ \]
Correct Answer: B
Solution :
\[\begin{align} & Given,\sin 3\theta =\cos (\theta -2{}^\circ ) \\ & sin3\theta =\sin [90{}^\circ -(\theta -2{}^\circ )] \\ & 3\theta =90{}^\circ -\theta +2{}^\circ \\ & 4\theta =92{}^\circ \Rightarrow \theta =\frac{92{}^\circ }{4}=23{}^\circ \\ \end{align}\]You need to login to perform this action.
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