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2 years ago

PLS HELP HURRY ILL MARK AS BRAINLESS WHATS THE ANSWER TO THESES 3 QUESTIONS

Mathematics

1 answer:

sergiy2304 [10]2 years ago

7 0

Answer:

Step-by-step explanation:

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Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2

4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0

2 years ago

There is a walking trail at the park. Four laps around the trail is a distance of 1 mile. How many laps does it take to walk 3/4

mamaluj [8]

Answer:

3 laps

Step-by-step explanation:

4/4 laps is 1 mile

3/4 laps is 3/4 of a mile

2/4 laps is 1/2 a mile (or 2/4 simplified)

1/4 laps is 1/4 milke

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2 years ago

What's a prime number

Andre45 [30]

Answer:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

4 0

2 years ago

Select the correct answer from each drop-down menu.

Annette [7]

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation $\bf{y=-(x-2)^2+5}$ (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

$y=-(2-2)^2+5=5.$

The extreme value of this equation has a minimum at the point (2,5).

7 0

2 years ago

Read 2 more answers

Solve pls brainliest

VikaD [51]

Answer: -5.27 + (-3.32) = -8.59 and -5.6 + 27.4 = 21.8

Step-by-step explanation: Have a nice day bro!✌️

6 0

2 years ago