(1-cos^2x/cosx)*cosecx
(sin^2x/cosx)*sinx (where 1-cos^2x=sin^2x) and 1/cscx=sinx
sinx/cosx=tanx(divide by sinx)
hence proved
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
As points, x-intercepts take the form

, so to find the intercepts we can set

and solve for

.

From the first equation alone, we already know that

is a solution, which means one intercept is

.
The second equation gives

so that the second intercept occurs at

.
So if

and

, we have

, giving C as the answer.
Let Sam be (S+8) years while his sister is S years.
S(S+8) = 105
S^2+8S-105 = 0
(S+15)(S-7) = 0
Sam’s sister is 7 years and Sam is 15 years old.
We are asked to perform the long division on the following expression.

Let us perform the long division.
So, we have
Quotient: q(x) = 19x^2 - 24x + 30
Remainder: r(x) = -32
Divisor: b(x) = x + 1
Therefore, the equivalent expression is

The 3rd option is the correct answer.