What is the value of cos((5pi)/4)+sin((5pi)/4) ?

The value of cos((5pi)/4)+sin((5pi)/4) is -sqrt(2)

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cos((5pi)/4)+sin((5pi)/4)

cos (\frac{5 π}{4}) + sin (\frac{5 π}{4})

- 2

Solution steps

cos (\frac{5 π}{4}) + sin (\frac{5 π}{4})

Rewrite using trig identities:

cos (\frac{5 π}{4}) = - \frac{2}{2}

Rewrite using trig identities:

sin (\frac{5 π}{4}) = - \frac{2}{2}

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

Simplify

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

= - 2

\frac{10}{tan ( 6 0 ^{\circ} )}

cos (2) + sin (2)

cos (arcsin (\frac{3}{5}) + arctan (\frac{5}{12}))

arcsin (- 0.9)

arcsin (- 0.6)

What is the value of cos((5pi)/4)+sin((5pi)/4) ?
The value of cos((5pi)/4)+sin((5pi)/4) is -sqrt(2)