Question

find the value of cos2 60°.sin2 45° +4tan2 30°+1/3sin90°-cos90°+5/24​

Answer 1

Step-by-step explanation:

cos2 60°.sin2 45° +4tan2 30°+1/3sin90°-cos90°+5/24

${ (\frac{1}{2}) }^{2} . { (\frac{1}{ \sqrt{2} } })^2 + 4( { \frac{1}{ \sqrt{3} }) }^{2} + \frac{1}{3} (1) - 0 + \frac{5}{4}$

$\frac{1}{4} . \frac{1}{2} + 4( \frac{1}{3} ) + \frac{1}{3} + \frac{5}{4}$

\frac{1}{8} + \frac{4}{3} + \frac{1}{3} + \frac{5}{4} \\ \frac{1}{8} + \frac{4}{3} + \frac{1}{3} + \frac{5}{4} \\ \frac{3 + 32 + 8 + 30}{24} \\ \frac{73}{24}