Trigonometry Examples

\cos (150 °)

$\cos (150 °)$

Step 1

Find the value using the definition of cosine.

\cos (150 °) = \frac{adjacent}{hypotenuse}

$\cos (150 °) = \frac{adjacent}{hypotenuse}$

Step 2

Substitute the values into the definition.

\cos (150 °) = \frac{- \frac{\sqrt{3}}{2}}{1}

$\cos (150 °) = \frac{- \frac{\sqrt{3}}{2}}{1}$

Step 3

Divide

- \frac{\sqrt{3}}{2}

$- \frac{\sqrt{3}}{2}$ by

1

$1$ .

- \frac{\sqrt{3}}{2}

$- \frac{\sqrt{3}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- \frac{\sqrt{3}}{2}

$- \frac{\sqrt{3}}{2}$

Decimal Form:

- 0.86602540 \dots

$- 0.86602540 \dots$

Step 5

\cos 150 °

$\cos 150 °$

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

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