If tan $(90^\circ – A)= \sqrt 3$ , What is sin A ?
If tan $(90^\circ – A)= \surd 3$ , What is sin A ?
यदि $tan(90^\circ – A)= \surd 3$, तो sin A क्या है?
Detailed Solution & Logic
Correct Answer:
$\frac{1}{2} $
$ \tan(90^\circ-A)=\cot A $
$ \cot A=\sqrt{3} $
$ \therefore \tan A=\frac{1}{\sqrt{3}} $
$ \tan 30^\circ=\frac{1}{\sqrt{3}} \Rightarrow A=30^\circ $
$ \therefore \sin A=\sin 30^\circ=\frac{1}{2} $
$ \frac{1}{2} $
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