All categories

2 years ago

1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving

Mathematics

1 answer:

Monica [59]2 years ago

6 0

Answer:

Below.

Step-by-step explanation:

I'll write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs = 1 + s - c + c + cs - c^2

s + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

You might be interested in

Select the mixed number or fraction that is equivalent to 32.029.

STALIN [3.7K]

<span>if mixed number: </span> $32\frac{29}{1000}$
if improper fraction then: $\frac{32029}{1000}$

4 0

2 years ago

What are the solutions to the equation 0 = x2 - x-6? Select two options

gregori [183]

Answer:

x=3, x=-2

Step-by-step explanation:

If this equation is $x^2-x-6$ , then plug in each number. For this example, I'll only do the correct answers.

$3^2=9\\9-3-6=0$

$-2^2=4\\4-(-2)-6=0\\or\\4+2-6=0$

Hope this helps!

4 0

2 years ago

Read 2 more answers

Janice is creating a scrapbook page with vertices (2,1), (7,1), (7,7), and (2,7). What is the area of the page she will be cover

almond37 [142]

Answer:

The actual area of the page will be 120 square inches.

Step-by-step explanation:

Janice is creating a page of scrapbook having vertices (2,1), (7,1), (7,7), and (2,7).

If we plot the points on the coordinate plane then we will see that the page is of a rectangular shape with length (7 - 1) = 6 units which is parallel to the y-axis and width (7 - 2) = 5 units which is parallel to the x-axis.

So, the area of the page is (6 × 5) = 30 square units.

Now, given that 1 square unit is equivalent to 4 square inches.

Therefore, the actual area of the page will be (30 × 4) = 120 square inches. (Answer)

3 0

2 years ago

The length of a rectangle is 8 inches more than the width. The perimeter is 36 inches. Find the length and the width (in inches)

Fofino [41]

Answer: w = 4 and l = 12

Step-by-step explanation:

7 0

2 years ago

Which best describes the strength of the model? a weak positive correlation a strong positive correlation a weak negative correl

Akimi4 [234]

Correlation coefficient helps us to know how strong is the relation between two variables. The strength of the model is a strong positive correlation.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

1 indicates a strong positive relationship.
-1 indicates a strong negative relationship.
A result of zero indicates no relationship at all, therefore, independent variable.

Hence, the strength of the model is a strong positive correlation.

Learn more about Correlation Coefficients:

brainly.com/question/15353989

3 0

1 year ago