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

Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T

Gnesinka [82]

Answer:

Simplify

$Q-[R+S]-T$

The answer is:

$10m+5n-24$

Step-by-step explanation:

We have the expressions:

$Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8$

Now, we need simplify:

$Q-[R+S]-T$

We need to replace each term by the expressions:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

We need to remember the rule of signs:

$-/-=+$

$-/+=-$

$+/+=+$

With this in mind we solve the parentheses:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

$7m+3n-[11-2m+n+5]+m+3n-8$

$7m+3n-11+2m-n-5+m+3n-8$

let's group common terms

$7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8$

We must add and subtract common terms:

$7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24$

The answer is:

$10m+5n-24$

7 0

3 years ago

Two large numbers of the Fibonacci sequence are F49= 7,778,742,049 and F50= 12,586,269,025. If these two numbers are added toget

Shkiper50 [21]

It is 20,365,011,074

7 0

3 years ago

Find the circumference of a circle with radius, r = 16.5m.<br> Give your answer in terms of pi.

Ksenya-84 [330]

Answer:

103.714 approximately 104

Step-by-step explanation:

2^r

2 × 22/7 ×16.5

7 0

3 years ago

Read 2 more answers

Question is attached………

krek1111 [17]

Answer:

d. 11:15

Step-by-step explanation:

1) officer1: distance 75 miles, velocity 60mil/h; officer2: distance 25 miles, velocity 55mil/h;

2) time, which is spent officer1 is: 75/60=1.25[h]=75 [min]. If the officer1 leaves his office at 10:00, the arrival time is 11:15;

3) time which is spent officer2 is: 25/55=5/11[h]≈27[min]. The arrival time is 10:27.

4) finally, the both officers are in the required location at 11:15.

8 0

2 years ago

Find the real solution for:

Advocard [28]

Answer:

none of the above

Step-by-step explanation:

p^3 = 125

Rewrite 125 as 5^3

p^3 = 5^3

Take the cube root of each side

(p^3) ^ (1/3) = ( 5^3) ^ (1/3)

p = 3

6 0

3 years ago