Question

Evaluate 4/cot square 30 + 1/sin square 30 - 2 cos square 45-sin square 0

Answer 1

use:cot30=root3
sin30=1/2
cos45=1/root2
sin0=0

Answer 2

Answer:

Step-by-step explanation:

The given Expression is:

$\frac{4}{cot^{2}30^{{\circ}}}+\frac{1}{sin^{2}30^{{\circ}}}-2cos^{2}45^{{\circ}}-sin^{2}0$

Since, cot30°=$\sqrt{3}$, sin30°=$\frac{1}{2}$, cos45°=$\frac{1}{\sqrt{2}}$, therefore the above equation becomes

$\frac{4}{3}+4-2(\frac{1}{2})-0$

⇒$\frac{4}{3}+4-1$

⇒$\frac{4}{3}+3$

⇒$\frac{4+9}{3}=\frac{13}{3}$

which is the required simplified form.