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Andrews [41]
3 years ago
7

2cos^2x = 1 Solve for 0-360 degrees

Mathematics
2 answers:
stich3 [128]3 years ago
7 0

Answer:

45°, 135°, 225°, 315°

Step-by-step explanation:

2cos²x = 1

cos²x = ½

cosx = +/- 1/sqrt(2)

Basic angle: 45

Since cos has both, positive and negative values, we'll consider all 4 quadrants

45,

180 - 45 = 135

180 + 45 = 225

360 - 45 = 315

Tems11 [23]3 years ago
5 0

Answer:

45,135,315,225

Step-by-step explanation:

2cos^2x = 1

Divide each side by 2

cos^2x = 1/2

Take the square root of each side

sqrt( cos^2 x) = ±sqrt (1/2)

cos x  =±sqrt (1/2)

Make into two separate equations

cos x  =sqrt (1/2)    cos x = - sqrt(1/2)

Take the inverse cos of each side

cos ^-1 cos (x) = cos ^-1 (sqrt (1/2))   cos ^-1 cos (x) = cos ^-1 (-sqrt (1/2))

x = cos ^-1 (sqrt (1/2))   x = cos ^-1 (-sqrt (1/2))

x = 45  +360 n              x = 135+ 360n

x = 315+360 n               x =225+360n

Between 0 and 360

45,135,315,225

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7 0
3 years ago
8. Loren already knows that he will have $500,000 when he retires. If he sets up a payout
Ulleksa [173]

The annuity could provide $221.19 each month

Step-by-step explanation:

The ANNUITY FORMULA is P_{t}=\frac{d[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}} , where

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2. d is the regular deposit (the amount you deposit each year or month

    or .........)

3. r is the annual interest rate in decimal

4. n is the number of compounding periods in one year

5. t the number of years

∵ Loren knows that he will have $500,000 when he retires

∴ P_{t} = $500,000

∵ he sets up a payout  annuity for 30 years in an account paying 10%

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∴ t = 30 years

∴ r = (10/100) = 0.1

∵ The annuity  could provide each month

∴ n = 12

Substitute the values above in the formula

∴ 500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}

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∴ d = $221.19

The annuity could provide $221.19 each month

Learn more:

You can learn more about deposit in brainly.com/question/8782252

#LearnwithBrainly

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Answer: 60/12 or 5

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5 0
2 years ago
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