Quiz about Quiz Other Trig Functions

Question 1

If $$ an heta=-\frac{\sqrt[]{3}}{3}$$ then find the value(s) of $$ heta$$

Accepted Answer

$$ heta=\frac{5\pi}{6}\ or\ \frac{11\pi}{6}$$

Answer

$$ heta=\frac{5\pi}{6}$$

Answer

$$ heta=\frac{11\pi}{6}$$

Answer

$$ heta=\frac{2\pi}{3}\ or\ \frac{5\pi}{3}$$

Question 2

Find the exact value of $$\sec\frac{7\pi}{6}$$

Accepted Answer

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

Answer

$$\frac{2\sqrt[]{3}}{3}$$

Answer

$$-\frac{\sqrt[]{3}}{3}$$

Answer

$$-\sqrt[]{2}$$

Question 3

Find the exact value of $$\cos\frac{2\pi}{3}$$

Accepted Answer

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

Answer

$$\frac{1}{2}$$

Answer

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

Answer

$$-\frac{\sqrt[]{2}}{2}$$

Question 4

Evaluate $$\csc740\degree$$ to the nearest ten-thousandth.

Accepted Answer

2.9238

Answer

0.9397

Answer

0.2235

Answer

1.0642

Question 5

When you input $$\sin^{-1}\left(-1.243\right)$$ into your calculator, you get an error.

What is the reason?

Accepted Answer

$$\sin^{-1} heta$$ has a domain of [-1,1]

Answer

$$\sin heta$$ has a domain of all real numbers

Answer

$$\sin heta$$ has a range of [-1,1]

Answer

$$\sin^{-1} heta$$ has a range of all real numbers

Question 6

If $$\sec heta=-1.2062$$ , then $$\cos heta=_{ }$$ ___?

Round to the nearest ten-thousandth.

Accepted Answer

-0.8291

Answer

19.0840

Answer

-1.7883

Answer

0.5446

Question 7

Simplify $$\frac{\cos heta}{ an heta}\cdot\sec^2 heta$$ using the fundamental identities.

Accepted Answer

$$\csc heta$$

Answer

$$ an heta$$

Answer

$$ an heta\sec heta$$

Answer

$$\sin heta$$

Question 8

Find the equivalent trigonometric function to $$\sin\left(\frac{49\pi}{12}\right)$$

Accepted Answer

$$\sin\left(\frac{\pi}{12}\right)$$

Answer

$$\sin\left(\frac{3\pi}{12}\right)$$

Answer

$$\sin\left(\frac{13\pi}{12}\right)$$

Answer

$$\sin\left(\frac{-11\pi}{12}\right)$$

Question 9

If $$ an\left(- heta ight)=-\frac{\sqrt[]{3}}{3}$$ , then $$ an\left( heta ight)=$$

Accepted Answer

$$\frac{\sqrt[]{3}}{3}$$

Answer

$$-\frac{\sqrt[]{3}}{3}$$

Answer

$$\sqrt[]{3}$$

Answer

$$-\sqrt[]{3}$$

Question 10

Find $$ an heta\ and\ \sec heta$$ if $$\csc heta=\frac{5}{3}\ and\ \sec>0.$$

Use identities to find the value of each expression.

Accepted Answer

$$ an heta=\frac{3}{4}\ and\ \sec heta=\frac{5}{4}$$

Answer

$$ an heta=-\frac{3}{5}\ and\ \sec heta=-\frac{3}{4}$$

Answer

$$ an heta=\frac{4}{5}\ and\ \sec heta=\frac{4}{3}$$

Answer

$$ an heta=\frac{4}{5}\ and\ \sec heta=\frac{4}{3}$$

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