Question

Match with the correct value of $\tan C\times sinA$ in each case.

• A. $\frac{1}{\sqrt{2}}$
• B. $\frac{3}{5}$
• C. $\frac{\sqrt{3}}{2}$

Answer 1

Case(1):
tan C $\times$ sin A
$tan{60}^{\circ }\times sin{30}^{\circ }$
= $\sqrt{3}$$\times$ $\frac{1}{2}$
= $\frac{\sqrt{3}}{2}$

Case(2):
tan C $\times$ sin A
$tan{45}^{\circ }\times sin{45}^{\circ }$
= $1\times$$\frac{1}{\sqrt{2}}$
= $\frac{1}{\sqrt{2}}$

Case(3):
tan C $\times$ sin A
$tan{37}^{\circ }\times sin{53}^{\circ }$
= $\frac{3}{4}$ $\times$ $\frac{4}{5}$
= $\frac{3}{5}$