Question

cos 585 degrees = with explanation​

Answer 1

Answer:

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Answer 2

Valueofcos585°=−

2

1

Step-by-step explanation:

\begin{gathered}Value \: of \: cos 585 \degree \\= cos ( 360 + 225 )\\= cos 225 \\= cos ( 270 - 45 )\\= - sin 45\degree \\= - \frac{1}{\sqrt{2}}\end{gathered}

Valueofcos585°

=cos(360+225)

=cos225

=cos(270−45)

=−sin45°

=−

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1

Therefore.,

\red {Value \: of \: cos 585 \degree } \green {=- \frac{1}{\sqrt{2}}}Valueofcos585°=−

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1

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