Question

The value of $\frac{\left(\cos 11^{\circ }+\sin 11^{\circ }\right)}{\left(\cos 11^{\circ }-\sin 11^{\circ }\right)}$ is

• A. $-\tan 304^{\circ }$
• B. $\tan 56^{\circ }$
• C. $\cot 214^{\circ }$
• D. all of these

Answer 1

Answer: (D)

$\frac{1+\tan 11^{\circ }}{1-\tan 11^{\circ }}=\tan \left(45^{\circ }+11^{\circ }\right)=\tan 56^{\circ }$