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

The value of sin(60)+cos(60) is (sqrt(3)+1)/2

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sin(60)+cos(60)

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

\frac{3 + 1}{2}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

= \frac{3}{2} + \frac{1}{2}

Simplify

\frac{3}{2} + \frac{1}{2} : \frac{3 + 1}{2}

= \frac{3 + 1}{2}

cos (1 5^{\circ}) cos (3 0^{\circ}) - sin (1 5^{\circ}) sin (3 0^{\circ})

cos (4 \cdot π)

csc (12 7^{\circ})

csc (- 66 0^{\circ})

- sin (\frac{1}{2})

What is the value of sin(60)+cos(60) ?
The value of sin(60)+cos(60) is (sqrt(3)+1)/2