Question

evaluate 4/cot2 30+1/sin2 60=cos2 45

Answer 1

Answer:

Step-by-step explanation:

\frac{4}{cot^{2}30\degree}+\frac{1}{sin^{2}60\degree}-cos^{2}45\degree

= \frac{4}{(\sqrt{3})^{2}}+\frac{1}{\left(\frac{\sqrt{3}}{2}\right)^{2}}-\left(\frac{1}{\sqrt{2}}\right)^{2}

=\frac{4}{3}+\frac{4}{3}-\frac{1}{2}

=\frac{8+8-3}{6}

=\frac{13}{6}

Therefore,

\frac{4}{cot^{2}30\degree}+\frac{1}{sin^{2}60\degree}-cos^{2}45\degree=\frac{13}{6}

Step-by-step explanation:

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