Lexi Mcneil

Answered

2022-07-26

Find the exact value of expression.
$\mathrm{sin}\left(30\right)-\mathrm{cos}\left(45\right)$

Answer & Explanation

cindysnifflesuz

Expert

2022-07-27Added 19 answers

$\mathrm{sin}\left(30\right)=1/2$
$\mathrm{cos}\left(45\right)=\sqrt{2}/2$
Therefore the answer is $\left(1-\sqrt{2}\right)/2$
The values for $\mathrm{sin}\left(30\right)$ and $\mathrm{cos}\left(45\right)$ should be memorized, among others, using the trigonometric circle

Parker Bird

Expert

2022-07-28Added 2 answers

$\mathrm{sin}30-\mathrm{cos}45=\frac{1}{2}﻿-\frac{\sqrt{2}}{2}=\frac{1-\sqrt{2}}{2}$

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