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

FizeauV
2021-08-17
Answered

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

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Malena

Answered 2021-08-18
Author has **83** answers

Step 1

We know the even property that

$f(-x)=f\left(x\right)$

And we know that cos is an even function so, 1)$\mathrm{cos}(-{45}^{\circ})=\mathrm{cos}\left({45}^{\circ}\right)$

Step 2

We know the value of$\mathrm{cos}\left({45}^{\circ}\right)=\frac{1}{\sqrt{2}}.$

Hence the value of$\mathrm{cos}(-{45}^{\circ})=\frac{1}{\sqrt{2}}$ from equation(1).

We know the even property that

And we know that cos is an even function so, 1)

Step 2

We know the value of

Hence the value of

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