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ankoles [38]
2 years ago
14

Prove that: (1 + Tan²A) Cos²A = 1​

Mathematics
1 answer:
Artyom0805 [142]2 years ago
6 0

Step-by-step explanation:

=(1+ sin^2 A/cos^2 A).cos^2 A

=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A

=[1/cos^2 a] . cos^2 a

=1

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Find three consecutive odd integers whose sum is-213.
Degger [83]
X + x + 2 + x + 4 = -213
3x + 6 = -213
3x = -219
x = -73
-73 + 2 = -71
-73 + 4 = -69
Solution: -73, -71, -69
4 0
2 years ago
Read 2 more answers
Identify the area of the kite. HELP ASAP PLEASE!!
ExtremeBDS [4]

Answer:

2340 m^2

Step-by-step explanation:

The area of kite = multiply the lengths of the two diagonals and divide by 2

The top left triangle:

Using Pythagorean theorem:

c^2 = a^2 + b^2

so

b^2 = c^2 - a^2

b^2 = 51^2 - 24^2

b^2 = 2601 - 576

b^2 = 2025

b = 45

Top right triangle:

Using Pythagorean theorem:

c^2 = a^2 + b^2

so

b^2 = c^2 - a^2

b^2 = 53^2 - 45^2

b^2 = 2809 - 2025

b^2 = 784

b = 28

so  the two diagonals:

24 + 28 = 52 m and 45 + 45 = 90 m

Area of the kite:

A = 52 x 90 / 2

A = 2340 m^2

3 0
3 years ago
What is a distributive property of 72 divided by 4
djverab [1.8K]

Answer:

\frac{72}{4}=18

Step-by-step explanation:

To find : What is a distributive property of 72 divided by 4 ?

Solution :

The distributive property of division is given by,

\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}

We have to divide 72 by 4,

So, Re-write 72 as 60+12.

Substitute,

\frac{72}{4}=\frac{60+12}{4}

\frac{72}{4}=\frac{60}{4}+\frac{12}{4}

\frac{72}{4}=15+3

\frac{72}{4}=18

Therefore, \frac{72}{4}=18

7 0
3 years ago
One and six tenths as a decimal
Brums [2.3K]

Answer:

1.6

Step-by-step explanation:

1 and 6/10 = 1.6 as a decimal

8 0
2 years ago
Read 2 more answers
The product of four and a number, decreased by seven
Salsk061 [2.6K]

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

  /4        /4

x - 7 = 25

  +7     +7

x = 32

7 0
2 years ago
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