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Roman55 [17]
2 years ago
10

Find all solutions of the equation in the interval [0, 2π). cotθ+ √3= 0

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
5 0

Answer:

  {5π/6, 11π/6}

Step-by-step explanation:

Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.

The solution to this equation is ...

  cot(θ) = -√3

so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.

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Don't really understand this math question yet
olga_2 [115]

Arranging the given distances from sea level on the number line, we have;

  • The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.

<h3>How can the number line be used to find the distance from the sea level?</h3>

The given elevation of the lowest points in the six countries are;

Country. Lowest point elevation (m)

China. →. -154

Egypt →. -133

Azerbaijan → -28

Serbia. →. 35

Israel. → -408

Laos. →. 70

Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;

Israel → -408

China → -154

Egypt → -133

Azerbaijan → -28

Serbia. → 35

Laos. →. 70

On a number line, we have;

Israel < China < Egypt < Azerbaijan < Serbia < Laos

Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.

However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).

The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.

Learn more about the number line here:

brainly.com/question/4727909

#SPJ1

7 0
1 year ago
PLS ANSWER QUICK I WILL GIVE BRAINLIEST
NISA [10]

Answer:

B

Step-by-step explanation:

First, we are decreasing the number so it has to be a decrease.

Next, we divide 7/31 and get around 0.23, which also represents 23 percent.

This only shows that 7 is 23 percent of 31, so we need to find the decrease by seeing the difference of 100 and 23.

We get 100 - 23 = 77, and because it is a decrease we get B.

8 0
2 years ago
Given two dice, what is the probability of rolling a four on the second die, given that you already rolled a four on the first d
Sholpan [36]

Answer:   1/6

Reason:

There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.

The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.

8 0
2 years ago
A. The length side b equals the length of side c
Ann [662]
Shiii it could be answer c
3 0
3 years ago
6 out of 13 of your
Tasya [4]

Answer:

46.2%

Step-by-step explanation:

6/13 x 100% = 46.1538461538% (rounded to the nearest tenth: 46.2%)

Hope that helps!

5 0
3 years ago
Read 2 more answers
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