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3 years ago

Which of the following are in the correct order from least to greatest?

Mathematics

2 answers:

Cloud [144]3 years ago

7 0

The first option because turn them all into degrees and it says:
54, 60, 90, 120, 255

Rina8888 [55]3 years ago

6 0

Answer:- $\frac{3\pi}{10},60^{\circ},\frac{\pi}{2},\frac{2\pi}{3},255^{\circ}$

Explanation:-

Substitute $\pi=180^{\circ}$ , we get

1. Correct.

$\frac{3\pi}{10},60^{\circ},\frac{\pi}{2},\frac{2\pi}{3},255^{\circ}$

=54°,60°,90°,120°,255°

2. Not correct.

255° is not less than 60.°

3. Not correct.

$\frac{\pi}{2}$ =90° which is not less than 60°.

4. Not correct

255° is not less than 60°.

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3 years ago

Tan(-212°)=____. 1. -cot 32° 2. tan 32° 3. cot 32° 4. -tan 32°

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Answer:

4. $-\tan 32$ °

Step-by-step explanation:

Given:

The tangent of the angle is given as:

$\tan (-212\°)$

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.

-212° when measured from counter clockwise direction will be equal to:

$-212\°(Clockwise)=360-212=148\°(CCW)$

Therefore, $\tan (-212\°)$ = $\tan (148\°)$

Now, we have the identity for tan as:

$\tan(\pi-\theta)=-\tan \theta$

Here, $\theta=148\°$

Therefore,

$-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)$