Trigonometry Examples

$\sec^{2} (60 °) - \tan^{2} (45 °)$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\sec (60 °)$ is $2$ .

$2^{2} - \tan^{2} (45 °)$

Step 1.2

Raise $2$ to the power of $2$ .

$4 - \tan^{2} (45 °)$

Step 1.3

The exact value of $\tan (45 °)$ is $1$ .

$4 - 1^{2}$

Step 1.4

One to any power is one.

$4 - 1 \cdot 1$

Step 1.5

Multiply $- 1$ by $1$ .

$4 - 1$

$4 - 1$

Step 2

Subtract $1$ from $4$ .

$3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$