All categories

3 years ago

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

Mathematics

1 answer:

Ilia_Sergeevich [38]3 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.

You might be interested in

Help if u can.

adelina 88 [10]

Answer:

It would be the 4th one and the last one I think

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&

sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

$\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}$

Given the expression;

$\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\$

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0

2 years ago

(25 POINTS!) Identify the like terms, explain how you know they are

Hatshy [7]

Answer:

Step-by-step explanation:

Like terms: 10y, -2y, 3x, and x

These are all like terms since they have a similar variable

Simplifying the expressions:

10y + 3x + 10 + x -2y = [(10y + -2y) + (3x + x)] + 10

= 8y + 4x + 10

Like terms: 3x, 4x, y, and -2y

Same as first explanation, terms have a similar variable

3x - y + 4x + 6 - 2y = (3x + 4x) + (-2y - y) + 6

= -3y + 7x + 6

Hope I helped :)

8 0

3 years ago

One clay brick weighs 5.76 pounds. The brick is 8 inches long and 2 1/4 inches wide. If the clay weighs 0.08 pounds per cubic in

IgorLugansk [536]

Yess yess yess 5.76 si right

4 0

3 years ago

What is root 3 × 2 root 3

Nezavi [6.7K]

Answer:

Step-by-step explanation:

The principal, real, root of:

$\sqrt[2]{3}$

=1.73205081

All roots:

1.73205081

−1.73205081

3 is not a perfect square

5 0

3 years ago