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lubasha [3.4K]
3 years ago
11

Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A​

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → <u>Proved</u>

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What is the slope and y-intercept of 6x-5y=13
DaniilM [7]

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

5 0
3 years ago
Find the number of sides when:
svp [43]
((n-2)×180)/n = 156
(n-2)×180=156n
24n =360
n =15

360/n =36
n = 10

a)15 b)10
7 0
3 years ago
The length of the box is x
Romashka [77]

A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x

<h3>How to calculate the volume of a box</h3>
  • Length of box = x
  • Width of the box is 4 inches less than the length. Thus; width = x - 4
  • Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5

Now, the formula for volume of a box is;

V = length × width × height

Thus;

V = x • (x - 1) • (x - 5)

V = x(x² - x - 5x + 5)

V = x(x² - 6x + 5)

V(x) = x³ - 6x² + 5x

In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x

Read more on volume of a box at; brainly.com/question/15532376

3 0
2 years ago
Write an equation in slope-intercept fo of the line that passes (-2,5) (4,-2)
BartSMP [9]

Answer: y + 2 = -7/6 ( x - 4 )

4 0
3 years ago
A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the​ plot?
Amanda [17]
Final answer: 2632 square feet


Any triangle’s area is

1/2xbasexheight

The question gives you both so just multiply em

1/2x 112x 47 = 2632 square feet
4 0
3 years ago
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