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Chapter 6: Q. 10 (page 436)

find the exact value of the expression
$\tan (330 °)$

Short Answer

Expert verified

$\tan (330 °) = - \frac{1}{\sqrt{3}}$

Step by step solution

01

Step 1. Rewriting the expression

We know that

$\tan (2 π - x) = - \tan (x) S o \tan (330 °) = \tan (2 π - 30) = - \tan (30)$

02

Step 2. Calculations

Now we get the expression as $\tan (330 °) = - \tan (30 °) S o - \tan (30 °) = - \frac{1}{\sqrt{3}}$

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Most popular questions from this chapter

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\sec 21 °$

find the value of the remaining five trigonometric functions of $ϑ$

role="math" localid="1646316653225" $\cos ϑ = \frac{2}{3} \frac{3 π}{2} < ϑ < 2 π$

For a circle of radius r, a central angle of u degrees subtends an arc whose length s is $s = \frac{π}{180} r θ$ . Discuss whether this is a true or false statement. Give reasons to defend your position.

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$- 180 °$

Convert each angle in degree to radians. express your answer as a multiple of $π$ .

$- 225 °$

See all solutions

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