Find the Exact Value cos(pi/3)+tan((5pi)/3)

$\cos (\frac{π}{3}) + \tan (\frac{5 π}{3})$

Step 1

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$\frac{1}{2} + \tan (\frac{5 π}{3})$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant.

$\frac{1}{2} - \tan (\frac{π}{3})$

Step 3

The exact value of $\tan (\frac{π}{3})$ is $\sqrt{3}$ .

$\frac{1}{2} - \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2} - \sqrt{3}$

Decimal Form:

$- 1.23205080 \dots$

Find the Exact Value cos(pi/3)+tan((5pi)/3)

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