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2 years ago

Find an angle x where sin x = COS x.

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

4 0

Answer:

$x = \frac \pi4 + k\pi (k \in \mathbb{Z})$

Step-by-step explanation:

If $cos\ x = 0 \rightarrow sin\ x = \pm1$ , which is obviously not a solution. At this point we can divide both sides by $cos\ x$ to get

$\frac {sin\ x}{cos\ x} = 1 \rightarrow tan\ x = 1$

which has solutions $x = \frac \pi4 + k\pi (k \in \mathbb{Z})$

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