What is the value of sin(pi/3)+cos^2((5pi)/6) ?

The value of sin(pi/3)+cos^2((5pi)/6) is (sqrt(3))/2+3/4

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sin(pi/3)+cos^2((5pi)/6)

sin (\frac{π}{3}) + cos^{2} (\frac{5 π}{6})

\frac{3}{2} + \frac{3}{4}

Solution steps

sin (\frac{π}{3}) + cos^{2} (\frac{5 π}{6})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

= \frac{3}{2} + (- \frac{3}{2})^{2}

Simplify

\frac{3}{2} + (- \frac{3}{2})^{2} : \frac{3}{2} + \frac{3}{4}

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

1.5 \cdot sin (0.14)

cot (4 5^{\circ}) + cot (9 0^{\circ})

arctan (\frac{- 791.18}{287.22})

23 sin (\frac{7 π}{6})

arctan (\frac{0}{- 12})

What is the value of sin(pi/3)+cos^2((5pi)/6) ?
The value of sin(pi/3)+cos^2((5pi)/6) is (sqrt(3))/2+3/4