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Katarina [22]
3 years ago
11

Simplify sin θ / square root 1 - sin^2 θ

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Recall that

\cos^2\theta+\sin^2\theta=1

which means

\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\sqrt{\cos^2\theta}}

Now, \cos\theta could be positive or negative, which means \sqrt{\cos^2\theta}=|\cos\theta|. If we specifically knew the sign of \cos\theta was positive, then we can simplify and write

\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta

or if it's negative,

\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{-\cos\theta}=-\tan\theta

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Need help with this problem?
yuradex [85]

The total amount raised is the sum of the amounts raised by the car wash and the dinner. The car wash raised 7c - 18. The dinner raised 6s - 45. We now add the expressions and combine like terms.

7c - 18 + 6s - 45

We need to combine like terms. Like terms are terms that have the same variables and the same exponents on the variables. 7c and 6s are not like terms since c and s are different variables. They cannot be combined together. Plain numbers, like -18 and -45 are lime terms because their variable parts are the same; they both have no variables.

7c - 18 + 6s - 45 =

= 7c + 6s - 18 - 45

= 7c + 6s - 63

Answer:  C.  7c + 6s - 63

4 0
3 years ago
The x-intercepts of the gravy of f (x)= x (x+1)(x-5)(x-7) are
Serhud [2]
"Of the gravy" lol

To find the x-intercepts, you make f(x) = 0 and solve for x by setting each factor equal to 0. 

0 = x(x + 1)(x - 5)(x - 7)

x = 0

x + 1 = 0
x = - 1

x - 5 = 0
x = 5

x - 7 = 0
x = 7

Your x-intercepts are x = - 1, 0, 5, 7

OR

There are x-intercepts at (- 1, 0), (0, 0), (5, 0), and (7, 0). 
8 0
3 years ago
Answer this please !
SpyIntel [72]

Answer:

6

Step-by-step explanation:

\frac{y}{2} =x^{2} -7

\frac{a}{2} =2^{2} -7

\frac{a}{2} =-3

a=-6

\frac{b}{2} =1^{2} -7

\frac{b}{2} =-6

b=-12

From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.

-6=2m+b        

-12=m+b

-24=2m+2b

18=-b

b=-18

-12=m-18

m=6

Therefore, the slope of line l is 6.

3 0
1 year ago
Read 2 more answers
ILLL markk brainliest i promise plsss helpp
SOVA2 [1]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Which of the following is equal to 4 2/3 / 3 1/2?(If you think its the answer I picked in the picture, its not) Thank you so muc
bazaltina [42]

Answer:

b

Step-by-step explanation:

4 2/3= 12/3+2/3=14/3

3 2/1=7/2 but you have to flip it

so you end up with 14/3*2/7

5 0
3 years ago
Read 2 more answers
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