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zimovet [89]
3 years ago
11

Sec(x)-tan(x)=1/sec(x)+tan(x)

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Answer:

Step-by-step explanation:

I assume that you mean

sec(x)-tan(x) = 1 / ( sec(x) + tan(x) ) , right ?

then this is equivalent to

[ sec(x) - tan(x) ] x [ sec(x) + tan(x) ] = 1

let s evaluate it, we got

sec2(x) - sec(x)tan(x) + - sec(x)tan(x) - tan2(x) = sec2(x) - tan2(x)

= (1 - sin2(x) ) / cos2(x) = cos2(x) / cos2(x) = 1

as cos2(x) + sin2(x) = 1

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(b) The force, F, between two objects is inversely proportional to the square of the distance, d, between
LiRa [457]

Answer:

F is reduced by 31%

Step-by-step explanation:

F = 1/(d²)

now, we increase the distance by 20% (multiply by 1.2).

F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =

= 1/1.44 × old F = 0.69 × old F

100 - 69 = 31%

6 0
3 years ago
4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​
stiv31 [10]

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

3x = 25 (divide both sides by 3 to get x)

3x/3 = 25/3

x = 8.33333333333

3 0
3 years ago
Solve for x = 4х – 8 = 3х – 8
Murrr4er [49]

Answer:

x = 4x - 8 - 3x  + 8 = 0 \\ x = 4x - 3x - 8 + 8 = 0 \\ x = 0

4 0
3 years ago
9x²+12xy+4y²???PLEASE HURRY 15 POINTS~
irakobra [83]

Answer:

(3x+2y)²

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Eva bought popcorn, candy and a drink at the movies. The popcorn was three times as expensive as the candy and the drink was twi
aliina [53]

The cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Given,

Eva bought popcorn, candy, and a drink at the movies.

The popcorn was three times as expensive as the candy and the drink was twice as expensive as the candy.

Eva spent a total of 10.50

We need to find the cost of popcorn, candy, and drink.

We have,

Let the cost of the candy be C.

Now,

The popcorn was three times as expensive as the candy.

Cost of the Popcorn = 3C

The drink was twice as expensive as the candy.

Cost of the drink = 2C

Eva spent a total of 10.50

Cost of popcorn + cost of drink + cost of candy = 10.50

3C + 2C + C = 10.50

Adding

6C = 10.50

Dividing by 6 into both sides

C = 10.50/6

C = 1.75.

Now,

Cost of the Popcorn = 3C = 3 x 1.75 = 5.25

Cost of the drink = 2C = 2 x 1.75 = 3.5

Cost of the candy = C = 1.75

Thus the cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Learn more about finding the cost of items with the given total cost here:

brainly.com/question/357628

#SPJ1

6 0
2 years ago
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