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

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

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sin(45)+cos(30)

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

\frac{2 + 3}{2}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= \frac{2 + 3}{2}

arctan (3.2)

3 cos (9 0^{\circ})

- 5 sin (\frac{π}{3})

cos (- \frac{π}{9})

sec (1 3^{\circ})

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