What is the value of sin(45)+csc(60) ?

The value of sin(45)+csc(60) is (3sqrt(2)+4sqrt(3))/6

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sin(45)+csc(60)

sin (4 5^{\circ}) + csc (6 0^{\circ})

\frac{3 2 + 4 3}{6}

Solution steps

sin (4 5^{\circ}) + csc (6 0^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

csc (6 0^{\circ}) = \frac{2 3}{3}

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

Simplify

\frac{2}{2} + \frac{2 3}{3} : \frac{3 2 + 4 3}{6}

= \frac{3 2 + 4 3}{6}

tan (4 5^{\circ}) - cos (3 0^{\circ})

arctan (\frac{6.25}{9.8} + 0.2)

cos (\frac{π}{2} \cdot 3)

tan (3 0^{\circ}) \cdot cos (3 0^{\circ})

arctan (- 90)

What is the value of sin(45)+csc(60) ?
The value of sin(45)+csc(60) is (3sqrt(2)+4sqrt(3))/6