All categories

3 years ago

Solve the following equation on the interval [0,2 \pi) Cot(3x)=\sqrt{3}

1 answer:

4 0

Cot(3x)=3^(1/2)

cot(x)= cos(x)/sin(x)

cot(3x)= cos(3x)/sin(3x)

look at a unit circle chart

find a value for cos that has sqrt(3) in it

which one will reduce so that the cos/sin will equal sqrt(3)?

pi/6 radians

now cot(3x) implies that x is one third this value

pi/18 is the answer

You might be interested in

A red apple has mass of 20 grams .you cut it into 5 slices. what about the aplles has changed ?

Nutka1998 [239]

Well you have cut it into smaller pieces so it would be I guess 4 grams now because 20 divided by 5 is 4.

7 0

3 years ago

Choose the equation of the horizontal line that passes through the point (−2, −1)

ohaa [14]

The answer of this problem would be A: Y = -1 because the line needs to be horizontal.

4 0

3 years ago

Read 2 more answers

The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the

Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0

3 years ago

What will be the result if the y-intercept of the line shown is changed to an 8,

nataly862011 [7]

I’m on the same question rn and I need help.

4 0

2 years ago

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 mile

Semenov [28]

Answer:

Inequality symbol = ≥

Solution = d≥4

Step-by-step explanation:

If a family drives 350 miles per day, then;

1 day = 350 miles

To determine the number of days they will use to reach at least 1400mles

d days = 1400miles

Divide both expressions

1/d = 350/1400

Cross multiply

350 * d = 1400

350d = 1400

Since we are told that it ia at least 1400miles, this means the total miles can be greater than 1400. Hence the correct inequality sign to use will be a greater than or equal to sign(≥).

The expression above becomes 350d ≥ 1400

Divide both sides by 3350

350d ≥ 1400/350

d≥ 4

Hence the solution that represent the situation is d≥ 4

8 0

3 years ago