What is the value of sin(45)+tan(30) ?

The value of sin(45)+tan(30) is (3sqrt(2)+2sqrt(3))/6

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sin(45)+tan(30)

sin (4 5^{\circ}) + tan (3 0^{\circ})

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

Solution steps

sin (4 5^{\circ}) + tan (3 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

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

Simplify

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

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

csc (4 7^{\circ})

arctan (\frac{3}{12})

arctan (\frac{3}{11})

cot (\frac{π}{16})

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

What is the value of sin(45)+tan(30) ?
The value of sin(45)+tan(30) is (3sqrt(2)+2sqrt(3))/6