All categories

4 years ago

Solve cotx + 2cotxsinx = 0 for 0 degrees < or equal to x < or equal to 180 degrees

Mathematics

2 answers:

stealth61 [152]4 years ago

8 0

Step-by-step explanation:

cotx +2cotxsinx =0

cotx +2 $\frac{cosx}{sinx}$ × sinx= 0

cotx +2 cosx= 0

$\frac{cosx}{sinx}$ + 2cosx= 0

$\frac{cosx+ 2cosxsinx}{sinx}$ = 0

cosx +2 cosxsinx= 0

cosx ×(1+ 2sinx)= 0

Hence, either cosx= 0 that is x= 90° or 270°

or 1+ 2sinx = 0 that is sinx= $\frac{-1}{2}$ i.e. x= 210° or 330°

As, 0° ≤x≤ 180° ∴ x= 90°

ikadub [295]4 years ago

7 0

Answer:

90°

Step-by-step explanation:

You might be interested in

Writing and evaluating a function that models a real-world situation: advanced

Wittaler [7]

So in this equation we're given that Ravi puts $350 into his account, this means that when W=0, S=350. Or that the y-intcpt(b) is 350.

when we find an equation we use slope intcpt formula:

y = mx + b

M in this case is the slope or the amount S

changes for every value of W. So if Ravi adds $70 every day that means the amount of money in his account increases by $70 everyday, so we can say m= 70

So putting together the equation with b= 350 and m = 70 we get :

$S = 70W + 350 \:$

Calculating for 17 weeks or W = 17

$S = \: 70 \times 17 \: + 350 \\ S = 1190 \: + 350 = 1540$

Ans: $1540

3 0

3 years ago

Joe had 9 apples he now has 1 how many did he keep.

Firlakuza [10]

I hope this helps you

9-?=1

?=8

7 0

3 years ago

Read 2 more answers

Jeff and jill are collecting coats for kids. They hope to collect 20 coats per day to reach their goal. They have already collec

weeeeeb [17]

None of the answers are correct in this question

6 0

3 years ago

Lines h and k are two parallel lines that have been cut by the transversal t. What is the measure of <1

dezoksy [38]

The measure of angle 1 which is alternate to 71 degrees is 71°

<h3>How to find an alternate angles?</h3>

when parallel lines are cut by a transversal line, angles relationship are formed such as corresponding angles, alternate angles etc.

Therefore,

When two straight lines are cut by a transversal, then the angles formed on the opposite side of the transversal with respect to both the lines are called an alternate angle.

Hence,

∠1 ≅ 71°

learn more on alternate angles here: brainly.com/question/13821266

#SPJ1

7 0

3 years ago

A scooter is priced between $1,000 and $ 2,000. Its price is a multiple of 10. All of the digits in the price, except for the th

snow_tiger [21]

Let us first break down the question given the information stated.

The question tells us that all of the digits in the price, except for the thousand digit, are even numbers, and that the scooter is priced between $1, 000 and $2, 000.

Effectively, this means that:

a) it must cost more than $1, 000 but less than $2, 000

b) the second, third and fourth digits are even (0, 2, 4, 6 or 8)

We also know that the price is a multiple of 10, thus we can modify b) from above and say that:

b) the second and third digits are even (0, 2, 4, 6 or 8)

c) the fourth digit is 0 (since the price must be divisible by 10)

Furthermore, we are told that the value of the hundreds digit is 30 times the value of the tens digit.

Now, this is where we need to remember that the second (ie. hundreds) and third (ie. tens) digits must be even and multiples of 10. Thus, we must do a little trial and error to find two values that fit these constraints, with x representing the tens value and y representing the hundreds value. We will start with x = 20 (we cannot start with x = 0 since the price would then be $1, 000, and we cannot start with x = 10, since the digit in the tens place would be a 1, which is odd, not even):

(1) if x = 20: y = 30*20 = 600

6 is an even number, which fits the constraint of the problem.

Thus, the tens digit is 2 and the hundreds digit is 6.

Given this information and that which we defined at the very beginning, we can now see that the price of the scooter is $1, 620.

I hope this does help you, however if you have any further questions or feel that I may have misinterpreted something (I personally found 'The value of the hundreds digit is 30 times the value of the tens digit' to be a little poorly defined), please feel free to comment below :)

4 0

3 years ago