What is the value of sin(225)+cos(-135) ?

The value of sin(225)+cos(-135) is -sqrt(2)

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sin(225)+cos(-135)

sin (22 5^{\circ}) + cos (- 13 5^{\circ})

- 2

Solution steps

sin (22 5^{\circ}) + cos (- 13 5^{\circ})

Rewrite using trig identities:

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

Rewrite using trig identities:

cos (- 13 5^{\circ}) = - \frac{2}{2}

= - \frac{2}{2} - \frac{2}{2}

Simplify

- \frac{2}{2} - \frac{2}{2} : - 2

= - 2

arccos (\frac{3}{6})

cos (8.1)

- sin ((\frac{π}{2})^{2}) \cdot 2 (\frac{π}{2})

\frac{( 2 \cdot 5 \cdot 4 π \cdot cos ^{2} ( 4 π \cdot 0.3 ) )}{1000}

arcsin (\frac{14.1}{49.5})

What is the value of sin(225)+cos(-135) ?
The value of sin(225)+cos(-135) is -sqrt(2)