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Lyrx [107]
4 years ago
13

Consider this expression

Mathematics
1 answer:
Vilka [71]4 years ago
3 0

Answer:

I hope it will help you..

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2 sin^2 + sin x - 3 = 0
denpristay [2]

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

(sin(x) - 1) (2 sin(x) + 3) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

3 0
3 years ago
Techechtium-99m has a half-life of 6 hours. If 1000mg is in use, in how many hours will 62.5mg remain?
Nady [450]
One half life 1000 mg to 1000/2 =500 mg
One half life 500 mg to 500/2 = 250 mg
One half life 250 mg to 250/2 = 125 mg
Etc .......
7 0
3 years ago
If sin Θ < 0, cos Θ > 0, and tan Θ < 0, what quadrant are we in?
kkurt [141]

Answer:

um.. I do not know lol have funn

5 0
3 years ago
Explain how to use a number line to model the equation -5 +3. Then determine its sum.
neonofarm [45]
Go from +3 on the number like and move to the left 5 times that would put you on the number -2.

So -5+3=-2
3 0
3 years ago
Read 2 more answers
Hi i am having trouble dividing decimals, im not really sure how to devide at all i keep forgeting.
kolbaska11 [484]
If You know how to do long division then... You move the decimal that’s outside the house to where it’s not there no more then divide . Or turn the decimals into Fractions and do the reciprocal.
5 0
4 years ago
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