What is the value of sin(255)+sin(195) ?

The value of sin(255)+sin(195) is -sqrt(3/2)

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sin(255)+sin(195)

sin (25 5^{\circ}) + sin (19 5^{\circ})

- \frac{3}{2}

Solution steps

sin (25 5^{\circ}) + sin (19 5^{\circ})

Rewrite using trig identities:

2 sin (22 5^{\circ}) cos (3 0^{\circ})

= 2 sin (22 5^{\circ}) cos (3 0^{\circ})

Rewrite using trig identities:

sin (22 5^{\circ}) = - \frac{2}{2}

Use the following trivial identity:

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

= 2 (- \frac{2}{2}) \frac{3}{2}

Simplify

2 (- \frac{2}{2}) \frac{3}{2} : - \frac{3}{2}

= - \frac{3}{2}

arccos (0.125)

arctan (- \frac{3}{3})

arcsin (\frac{- 3}{5})

sin (2) (25)

sin (2) (28)

What is the value of sin(255)+sin(195) ?
The value of sin(255)+sin(195) is -sqrt(3/2)