What is the value of -cos(210)-sin(315) ?

The value of -cos(210)-sin(315) is (sqrt(3)+sqrt(2))/2

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-cos(210)-sin(315)

- cos (21 0^{\circ}) - sin (31 5^{\circ})

\frac{3 + 2}{2}

Solution steps

- cos (21 0^{\circ}) - sin (31 5^{\circ})

Rewrite using trig identities:

cos (21 0^{\circ}) = - \frac{3}{2}

Rewrite using trig identities:

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

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

Simplify

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

= \frac{3 + 2}{2}

\frac{1}{2} sec (2) tan (2) + \frac{1}{2} ln (sec (2) + tan (2))

sin (\frac{arcsin ( \frac{3}{5} )}{2})

15 sin (\frac{π}{4})

arcsin (0.342)

\frac{( 60 ) sin ( 15 5 ^{\circ} )}{97.73}

What is the value of -cos(210)-sin(315) ?
The value of -cos(210)-sin(315) is (sqrt(3)+sqrt(2))/2