Question

Evaluate 4/cot 30+/sin30-2cos-45-sin0

Answer 1

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.................