Question

$\frac{\cos {17}^{\circ }+\sin {17}^{\circ }}{\cos {17}^{\circ }-\sin {17}^{\circ }}$

• A. $\tan {62}^{\circ }$
• B. $\tan {56}^{\circ }$
• C. $\tan {54}^{\circ }$
• D. $\tan {73}^{\circ }$

Answer 1

The correct option is A $\tan {62}^{\circ }$

Now,

$\frac{\cos {17}^{\circ }+\sin {17}^{\circ }}{\cos {17}^{\circ }-\sin {17}^{\circ }}$

$=\frac{1+\tan {17}^{\circ }}{1-\tan {17}^{\circ }}$

$=\frac{\tan {45}^o+\tan {17}^{\circ }}{1-\tan {45}^o.\tan {17}^{\circ }}$

$=\tan ({45}^o+{17}^o)$

$=\tan {62}^o$.