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hodyreva [135]
3 years ago
12

Super urgent! Solve the equation for all real values of x. 3tan^2 = sqrt3 tanx

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0

tan2(x) + √3[tan(x)] - tan(x) - √3 = 0

Factor into

[-1 + tan(x)]*[√3 + tan(x)] = 0

which means

[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0

Then

tan(x) = 1

tan-1(1) = pi/4 radians

For the other equation

[√3 + tan(x)] = 0

tan(x) = -√3

tan-1(-√3) = -pi/3

so that

x = pi/4 or -pi/3 in the interval [0, 2pi]

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Help pls …..———<br> :….—-
LenaWriter [7]

Answer:

a/

36s ~ 360º

1s ~ ?

so 1 * 360 / 36 = 10º

b/

36*3/4=27s (closest)

36*1/4=9s (farthest)

c/

20ft

4 0
2 years ago
Read 2 more answers
Find m\angle Bm∠Bm, angle, B.
Natalija [7]

Answer:

The answer is that the measure of ∠α is ≈ 20° when rounded to the nearest °

Step-by-step explanation:

To find the measure of ∠α you need to use the reciprocal of the formula for the law of sine which says that a/Sinα = b/Sinβ = c/Sin C. The reciprocal of this gives the new equation that states Sinα/a = Sinβ/b = Sin C/c, and this will help you to find the measure of the missing angle in °'s.

In the triangle line segment BC = 5units is opposite to point A & ∠α. Line segment AC = 7units  is opposite of point and ∠β which is = 28°. And finally, the hypotenuse length and the values of point C & ∠C are unknown, so they aren't important to solving the problem. Knowing all this you can plug in all the known values into the new formula, and start working on figuring things out.

To find the measure ∠α, you first write down everything, putting things into their proper places, so since you're solving for sinα you want the equation to look like this:

sinα/5 = sin28°/7

Then for the second step, you want to isolate the sinα. (To get it by itself × both left and righthand sides by 5 to begin simplifying).

This leaves you with :

sinα = sin28°÷7 · (5)    [And allows you to now solve for the right side of the equation, bringing us to our third step which is to once again simplify. So what you want to do is whip out your calculator and set it to degree mode, so you can find the of sin28° which is = 0.46947156278. Then ÷ that by 7, which will get you a number = 0.06706736611. Finally, take 0.06706736611 × 5,  and you will get the value = 0.33533683056, as your final answer in the third step]

Your equation should now look something like this :

sinα = 0.06706736611 × 5 or 0.33533683056

Moving onto the fourth step, you need to use the inverse of the trig function of sin to get your absolute value. (remember the inverse of sine or acrsin = sin^-1) Here you will need to multiply sin^-1 by 0.33533683056.

And also by now, you'll want to stop writing the equation as sinα = sin^-1 ×

0.33533683056, otherwise you won't get an answer, instead, you'll need to write:

α = sin^-1 × 0.33533683056

So once you do that for the fifth and final step, you'll need to simplify the equation on the righthand side one last time, and you should get the answer of α = 19.5930217327°. Which when rounded to the nearest ° is ≈ 20°.

7 0
2 years ago
Factor completely.<br> 81a^2+180x+100=
trasher [3.6K]

Answer:

You cannot factor this

Hope this helped!

8 0
2 years ago
Determine the intercepts of the line.
Angelina_Jolie [31]

Answer:

x=-13/6,0 and y=0,13

Step-by-step explanation:

7 0
3 years ago
A farmer has developed a new type of fertilizer. This new fertilizer costs 20
Oksana_A [137]

Answer:

A

Step-by-step explanation:

Marginal cost is the change in total cost as a result of increasing output by one unit

Marginal cost  = Δcost / Δquantity

0.2 / 0.25 = 0.8

The marginal cost would decrease because the change in output is higher than the change in total cost

Marginal benefit would increase

Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost

5 0
3 years ago
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