Quiz about F.3 Ch.9 trigonometric relations

Question 1

$$\sin heta=$$

Accepted Answer

$$\frac{opposite}{hypotenuse}$$

Answer

$$\frac{hypotenuse}{opposite}$$

Answer

$$\frac{adjacent}{hypotenuse}$$

Question 2

$$\cos heta=$$

Accepted Answer

$$\frac{adjacent}{hypotenuse}$$

Answer

$$\frac{opposite}{hypotenuse}$$

Answer

$$\frac{hypotenuse}{opposite}$$

Answer

$$\frac{opposite}{hypotenuse}$$

Question 3

$$ an heta=$$

Accepted Answer

$$\frac{opposite}{hypotenuse}$$

Answer

$$\frac{hypotenuse}{opposite}$$

Answer

$$\frac{adjacent}{hypotenuse}$$

Question 4

$$\sin30\degree$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

$$\sin45\degree$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$1$$

Question 6

$$\sin60\degree$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\sqrt{3}$$

Question 7

$$\cos30\degree$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

$$\cos45\degree$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$1$$

Question 9

$$\cos60\degree$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\sqrt{3}$$

Question 10

$$ an30\degree$$

Accepted Answer

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

Answer

$$1$$

Answer

$$\sqrt{3}$$

Answer

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

Question 11

$$ an45\degree$$

Accepted Answer

$$1$$

Answer

$$\sqrt{3}$$

Answer

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

Answer

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

Question 12

$$ an60\degree$$

Accepted Answer

$$\sqrt[]{3}$$

Answer

$$1$$

Answer

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

Answer

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

Question 13

Simplify.

Accepted Answer

cos x

Answer

sin x

Answer

tan x

Answer

1

Question 14

tan x =

(Select ALL that apply)

Accepted Answer

sinx/cos x

Answer

cosx/sinx

Question 15

sin²x + cos²x =

Accepted Answer

1

Answer

1/sinx

Answer

sec2x

Answer

csc2x

Question 16

1 - sin²x =

Accepted Answer

cos2x

Answer

cos2x+1

Answer

csc2x

Answer

tan2x

Question 17

Use IDENTITIE(S) to find $$\sin heta$$ if $$\cos heta=\frac{3}{5}$$ .

(Assume $$ heta$$ is a quadrant I angle.)

Accepted Answer

$$\frac{4}{5}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{5}{4}$$

Answer

$$\frac{9}{25}$$

Question 18

Use IDENTITE(S)to find the following:

If $$ an heta=\frac{8}{4}$$ , find $$\cos heta$$ . (Assume $$ heta$$ is a quadrant 1 angle.)

Accepted Answer

$$\frac{\sqrt[]{5}}{5}$$

Answer

$$\sqrt[]{5}$$

Answer

$$\frac{2\sqrt[]{5}}{5}$$

Answer

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

Question 19

$$\sin heta=$$

Accepted Answer

$$\cos\left(90\degree- heta ight)$$

Answer

$$ an\left(90\degree- heta ight)$$

Answer

$$\sin\left(90\degree- heta ight)$$

Answer

$$\frac{1}{ an heta}$$

Question 20

$$\cos heta=$$

Accepted Answer

$$\sin\left(90\degree- heta ight)$$

Answer

$$\cos\left(90\degree- heta ight)$$

Answer

$$ an\left(90\degree- heta ight)$$

Answer

$$\frac{1}{ an heta}$$

Question 21

$$ an heta=$$

Accepted Answer

$$\frac{1}{ an\left(90\degree- heta ight)}$$

Answer

$$\cos\left(90\degree- heta ight)$$

Answer

$$ an\left(90\degree- heta ight)$$

Answer

$$\sin\left(90\degree- heta ight)$$

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