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

The value of cos(60)+sin(45) is (1+sqrt(2))/2

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cos(60)+sin(45)

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

\frac{1 + 2}{2}

Solution steps

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

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

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

Simplify

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

= \frac{1 + 2}{2}

cos (\frac{8 π}{6})

cot (\frac{27 π}{2})

arctan (tan (\frac{7 π}{9}))

cos (2 arcsin (\frac{8}{17}))

arccsc (\frac{1}{0})

What is the value of cos(60)+sin(45) ?
The value of cos(60)+sin(45) is (1+sqrt(2))/2