Explain how to find the value of \cos(-45^{\circ}) using even-odd properties.

Explain how to find the value of $\mathrm{cos}\left(-{45}^{\circ }\right)$ using even-odd properties.
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Malena
Step 1
We know the even property that
$f\left(-x\right)=f\left(x\right)$
And we know that cos is an even function so, 1) $\mathrm{cos}\left(-{45}^{\circ }\right)=\mathrm{cos}\left({45}^{\circ }\right)$
Step 2
We know the value of $\mathrm{cos}\left({45}^{\circ }\right)=\frac{1}{\sqrt{2}}.$
Hence the value of $\mathrm{cos}\left(-{45}^{\circ }\right)=\frac{1}{\sqrt{2}}$ from equation(1).