Question

Evaluate each of the following

(${Cot}^2)$ ${30}^{\circ }$ + 2(${Cos}^2)$ ${60}^{\circ }$ – 34 (${Sec}^2)$ ${45}^{\circ }$ - 4 (${Sec}^2)$ ${30}^{\circ }$

Answer 1

(${Cot}^2)$ ${30}^{\circ }$ + 2(${Cos}^2)$ ${60}^{\circ }$ – 34 (${Sec}^2)$ ${45}^{\circ }$ - 4 (${Sec}^2)$ ${30}^{\circ }$

$\to$ ${Cot{30}^{\circ }}^2$ + 2 ${Cot{60}^{\circ }}^2$ – 34 ${Sec{45}^{\circ }}^2$ ${45}^{\circ }$ - 4 ${Sec{30}^{\circ }}^2$

$\to$ 3 + $\frac{1}{2}$ + 34 .2 - (4 x3)

$\to$ 15- 68 + $\frac{1}{2}$

$\to$ -53 + $\frac{1}{2}$

$\to$ -52 $\frac{1}{2}$