On interval [0,2pi) cos x=sin x

1 answer:

8 0

$\cos x=\sin x$

When $\cos x\neq0$ , you can divide through by it on both sides to get

$\dfrac{\cos x}{\cos x}=\dfrac{\sin x}{\cos x}\iff 1=\tan x$

and this occurs for $x=\dfrac\pi4,\dfrac{5\pi}4$ .

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Step-by-step explanation:

In the attached images we can see the rigid transformation of the function $f(x) =x^{3}$

1. The basic graph $f(x) =x^{3}$

2. The reflected graph $f(x) = -x^{3}$

3. The displaced graph $f(x) = -(x-4)^{3}$

Reflection: In the expression $f(x) = -(x-4)^{3}$ , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

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