SinX/1-cosX+sinX/1+cosX

1 answer:

3 0

It looks like you're missing some parentheses.
I think this is the equation you mean:
sin(x)/(1-cos(x)) + sin(x)/(1+cos(x))
your common denominator is (1-cos(x))*(1+cos(x)), which is the difference of squares simplification and is equal to (1-cos^2(x)) = sin^2(x)
Numerator: sin(x)*(1+cos(x)) + sin(x)*(1-cos(x))
= sin(x) +sin(x)cos(x) + sin(x) - sin(x)cos(x)
= 2sin(x)
Answer: 2sin(x)/sin^2(x) = 2/sin(x) = 2csc(x)

You might be interested in

write the equation in slope-intercept form with y intercept of −3 and an x intercept of −4.5. Plz tell me how you got it so i no

erastovalidia [21]

The equation of the line is y = -2/3x - 3.

To find this, we first need to turn the intercepts into ordered pairs.

x intercept: (-4.5, 0)

y intercept: (0, -3)

Now we can use these two points and the slope equation to find slope.

m = (y2 - y1)/(x2 - x1)

m = (0 - -3)/(-4.5 - 0)

m = 3/-4.5

m = -2/3

Now that we have the slope, we can use slope intercept form to find the intercept.

y = mx + b

-3 = 2/3(0) + b

-3 = 0 + b

-3 = b

Which allows us to model the equation as y = -2/3x - 3

6 0

3 years ago

PLEASE HELP ME WITH ALGEBRA PROBLEMS PLEASEEEE

Nat2105 [25]

Answer:

Step-by-step explanation:

In the first part the given polynomial is $3x^{3}-2x^{2}+x-1$ , we have to divide this polynomial by (x-1) using synthetic division.

Here are the steps of synthetic division

Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.

Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.

Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)

Step 4: Add the column made in step 3. Repeat these steps until the last column reached.

In the second part,

It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.

In the third part,

Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.

As explained the steps of synthetic division in first part

x-3=0 ⇒ x=3 which is a

In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.

As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.

The columns which is formed by above steps are added.