What is the value of sin(315)-sin(60) ?

The value of sin(315)-sin(60) is (-sqrt(2)-sqrt(3))/2

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sin(315)-sin(60)

sin (31 5^{\circ}) - sin (6 0^{\circ})

\frac{- 2 - 3}{2}

Solution steps

sin (31 5^{\circ}) - sin (6 0^{\circ})

Rewrite using trig identities:

sin (31 5^{\circ}) = - \frac{2}{2}

Use the following trivial identity:

sin (6 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 (1.73)

arccos (\frac{5}{3})

arctan (1.57)

arctan (1.56)

tan^{1} (1)

What is the value of sin(315)-sin(60) ?
The value of sin(315)-sin(60) is (-sqrt(2)-sqrt(3))/2