What is the value of 9sin((5pi)/4)+9cos((5pi)/4) ?

The value of 9sin((5pi)/4)+9cos((5pi)/4) is -9sqrt(2)

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9sin((5pi)/4)+9cos((5pi)/4)

9 sin (\frac{5 π}{4}) + 9 cos (\frac{5 π}{4})

- 92

Solution steps

9 sin (\frac{5 π}{4}) + 9 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}

= 9 (- \frac{2}{2}) + 9 (- \frac{2}{2})

Simplify

9 (- \frac{2}{2}) + 9 (- \frac{2}{2}) : - 92

= - 92

arcsin (sin (\frac{π}{10}))

sin^{2} (\frac{π}{6}) + cos^{2} (\frac{π}{6})

3 \cdot tan (3 0^{\circ})

\frac{1}{sec ^{2} ( 0 )}

600 \cdot cos (4 5^{\circ})

What is the value of 9sin((5pi)/4)+9cos((5pi)/4) ?
The value of 9sin((5pi)/4)+9cos((5pi)/4) is -9sqrt(2)