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

The value of sin(45)+sin(30) is (sqrt(2)+1)/2

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sin(45)+sin(30)

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

\frac{2 + 1}{2}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= \frac{2}{2} + \frac{1}{2}

Simplify

\frac{2}{2} + \frac{1}{2} : \frac{2 + 1}{2}

= \frac{2 + 1}{2}

cos (- \frac{17 π}{6})

cot (- 6)

cos (arctan (\frac{8}{15}) - arccos (\frac{3}{5}))

sin (\frac{300}{2})

14 cos (3 0^{\circ})

What is the value of sin(45)+sin(30) ?
The value of sin(45)+sin(30) is (sqrt(2)+1)/2