What is the value of 7sin((5pi)/4)+7cos((5pi)/4) ?

The value of 7sin((5pi)/4)+7cos((5pi)/4) is -7sqrt(2)

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7sin((5pi)/4)+7cos((5pi)/4)

7 sin (\frac{5 π}{4}) + 7 cos (\frac{5 π}{4})

- 72

Solution steps

7 sin (\frac{5 π}{4}) + 7 cos (\frac{5 π}{4})

Rewrite using trig identities:

sin (\frac{5 π}{4}) = - \frac{2}{2}

Rewrite using trig identities:

cos (\frac{5 π}{4}) = - \frac{2}{2}

= 7 (- \frac{2}{2}) + 7 (- \frac{2}{2})

Simplify

7 (- \frac{2}{2}) + 7 (- \frac{2}{2}) : - 72

= - 72

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

arccos (0.125)

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

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

sin (2) (25)

What is the value of 7sin((5pi)/4)+7cos((5pi)/4) ?
The value of 7sin((5pi)/4)+7cos((5pi)/4) is -7sqrt(2)