Question

Evaluate: $2{\tan }^{2}45+{\cos }^2{30}^{\circ }-{\sin }^2{60}^{\circ }$

• A. $3$
• B. $2$
• C. $4$
• D. $6$

Answer 1

Answer: (B)

$2$

$2{\tan }^{2}45+{\cos }^2{30}^{\circ }-{\sin }^2{60}^{\circ }$ = $2\times (1{)}^2+{\left(\frac{\sqrt{3}}{2}\right)}^2-{\left(\frac{\sqrt{3}}{2}\right)}^2=2+\frac{3}{4}-\frac{3}{4}=2$