How do i solve cos (-60(degrees)) to exact values?

Cynthia Bell 2021-12-26 Answered
How do i solve cos (-60(degrees)) to exact values?

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Karen Robbins
Answered 2021-12-27 Author has 4325 answers
Explanation:
\(\displaystyle{\cos{{\left(-{60}^{\circ}\right)}}}\)
first convert \(\displaystyle{60}^{\circ}\) in radians just for the sake of convenience of problem solving in trigonometry. since \(\displaystyle\pi\ \text{ radian }\ ={180}^{\circ}\Rightarrow{60}^{\circ}={\left({\frac{{\pi}}{{{3}}}}\right)}\ \text{ radians}\)
now, since \(\displaystyle{\cos{{\left(-\theta\right)}}}={\cos{\theta}}.\)
so, \(\displaystyle{\cos{{\left(-{\frac{{\pi}}{{{3}}}}\right)}}}={\cos{{\left({\frac{{\pi}}{{{3}}}}\right)}}}={\frac{{{1}}}{{{2}}}}\) (a standard value and should be memorised)
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jgardner33v4
Answered 2021-12-28 Author has 4051 answers
\(\displaystyle{\cos{{\left(-{x}\right)}}}={\cos{{\left({x}\right)}}}\)
\(\displaystyle{\cos{{\left(-{60}\right)}}}={\cos{{\left({60}\right)}}}\)
\(\displaystyle={\frac{{{1}}}{{{2}}}}={0.5}\)
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Vasquez
Answered 2022-01-08 Author has 9055 answers
Thank you, it was very helpful
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