Question

Assertion :In a right angled triangle, if $\cos \theta =\frac{1}{2}and\sin \theta =\frac{\sqrt{3}}{2}$, then $\tan \theta =\sqrt{3}$ Reason: $\tan \theta =\frac{\sin \theta }{\cos \theta }$

• A. If both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. If both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion
• C. If Assertion is correct but Reason is incorrect
• D. If Assertion is incorrect but Reason is correct

Answer 1

The correct option is A If both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Both assertion and reason are correct and reason is the correct explanation of the assertion
$\tan \theta =\frac{\sin \theta }{\cos \theta }=\frac{\sqrt{3}}{2}\times \frac{2}{1}=\sqrt{3}$