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3 years ago

Solve for x: sinx-cosx=√2

1 answer:

6 0

sinx - cosx =sqrt(2)
Taking square on both sides:
(sinx - cosx)^2 =sqrt(2)^2
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
sin^2(x)+cos^2(x) = 1
So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-2sinxcosx = 1
Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
sin2x = -1
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer

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3 years ago

At Davis you can buy 12 pounds of M&M's for $12.24 or 8 pounds for $8.24 at Smith's. Which is the better buy

Law Incorporation [45]

Answer:

12 pounds

Explanation:

If you were to divide 12.24 from 12 you would get 1.02, which would be the cost of each pound.

Meanwhile, if you were to divide 8.24 from 8 you would get 1.03, which would be the cost of each pound.

So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

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3 years ago

Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?

kompoz [17]

Answer:

Step-by-step explanation:

Mean is calculated as

mean = $\frac{sum}{count}$

let x be his test score of his last test , then

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3 years ago

I need help please.

Rudiy27

Answer:

0.167, 0.164, 0.16

Step-by-step explanation:

In decimals, the closer it is to 1 the larger it gets. 0.167 is smaller than 0.164 because 0.164 is closer to one, which makes it greater.

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3 years ago

-35x = -105 is -3 true or false

Lady bird [3.3K]

False
on the left, there is 2 negatives, which cannot result in a negative number on the right

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3 years ago