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3 years ago

If sin (theta) is in quadrant 3 then what is tan (theta)?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

positive

Step-by-step explanation:

two negatives make a positive

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Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

2 years ago

G(x)=x^4-32x^2+256;x=-4

Sindrei [870]

Answer:4

Step-by-step explanation:

6 0

2 years ago

I need help with is problem.

ad-work [718]

Step-by-step explanation:

A function f(x) can be scaled by a factor of "a" and translated by (h,k) by the relation:

f(x) -> a f(x-h)+k

substitute f(x) by sqrt(x), then

sqrt(x) -> a*sqrt(x-h) + k

So the given equation is derived from f(x) = sqrt(x), hence a radical function.

8 0

3 years ago

Read 2 more answers

15 points!!

saveliy_v [14]

Answer:

Step-by-step explanation:

9x7.8x1/2x12

6 0

2 years ago

Read 2 more answers

Suppose restaurant A's chicken salad contains 6more grams of fat than restaurant B's chicken salad. Find the number of grams o

LenKa [72]

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

$x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25$

4 0

2 years ago