Question

The value of $tan{60}^{\circ }cose{c}^2{45}^{\circ }+se{c}^2{60}^{\circ }tan{45}^{\circ }$ is

• A. $4+2\sqrt{3}$
• B. $4-2\sqrt{3}$
• C. $1$
• D. $-1$

Answer 1

The correct option is A $4+2\sqrt{3}$

$tan{60}^{\circ }cose{c}^2{45}^{\circ }+se{c}^2{60}^{\circ }tan{45}^{\circ }=\sqrt{3}(\sqrt{2}{)}^2+2^2(1)=4+2\sqrt{3}$