Trigonometry Examples

$\tan (0) > 0$ , $\sin (0) < 0$

Step 1

Solve $\tan (0) > 0$ for .

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Step 1.1

The exact value of $\tan (0)$ is $0$ .

$0 > 0$

Step 1.2

The inequality is never true.

No solution

Step 1.3

Identify the leading coefficient.

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Step 1.3.1

The exact value of $\tan (0)$ is $0$ .

$0$

Step 1.3.2

The leading term in a polynomial is the term with the highest degree.

$0$

Step 1.3.3

The leading coefficient in a polynomial is the coefficient of the leading term.

$0$

Step 1.4

Since there are no real x-intercepts and the leading coefficient is positive, the parabola opens up and $\tan (0)$ is always greater than $0$ .

All real numbers

Step 2

Solve $\sin (0) < 0$ for .

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Step 2.1

The exact value of $\sin (0)$ is $0$ .

$0 < 0$

Step 2.2

The inequality is never true.

No solution

Step 2.3

Identify the leading coefficient.

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Step 2.3.1

The exact value of $\sin (0)$ is $0$ .

$0$

Step 2.3.2

The leading term in a polynomial is the term with the highest degree.

$0$

Step 2.3.3

The leading coefficient in a polynomial is the coefficient of the leading term.

$0$

Step 2.4

Since there are no real x-intercepts and the leading coefficient is positive, the parabola opens up and $\sin (0)$ is always greater than $0$ .

No solution