Trigonometry Examples

$x = t^{2} + 1$

Step 1

Rewrite the equation as $t^{2} + 1 = x$ .

$t^{2} + 1 = x$

Step 2

Subtract $1$ from both sides of the equation.

$t^{2} = x - 1$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$t = \pm \sqrt{x - 1}$

Step 4

The complete solution is the result of both the positive and negative portions of the solution.

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Step 4.1

First, use the positive value of the $\pm$ to find the first solution.

$t = \sqrt{x - 1}$

Step 4.2

Next, use the negative value of the $\pm$ to find the second solution.

$t = - \sqrt{x - 1}$

Step 4.3

The complete solution is the result of both the positive and negative portions of the solution.

$t = \sqrt{x - 1}$

$t = - \sqrt{x - 1}$

$t = \sqrt{x - 1}$

$t = - \sqrt{x - 1}$