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alex41 [277]
1 year ago
14

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

where appropriate.) sin theta = 1/2 Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos theta = -1
Mathematics
1 answer:
Montano1993 [528]1 year ago
3 0

The solution of the given equation is :

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ

So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1

-2cos2θ - cosθ + 1 = 0

2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)

(2cosθ - 1)(cosθ + 1) = 0 (taking common)

cosθ = 1/2 or cosθ = -1 (on equating it to zero)

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

For more information about trigonometric ratios, visit

brainly.com/question/24496175

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8 0
3 years ago
Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the three jump ropes will be the same
Vesnalui [34]

Answer:

The length of each rope is 9.93 feet (Approx).

Step-by-step explanation:

As given

Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes.

Each of the three jump ropes will be the same length.

Thus

Length\ of\ each\ rope = \frac{29.8}{3}

Length\ of\ each\ rope = 9.93\ feet(Approx)

Therefore the length of the each rope is 9.93 feet (Approx).



3 0
2 years ago
2/5×8/15 what does it mean
VLD [36.1K]

That's mean you gonna multiply

2*8 and 5*15

16/75


Hint: Multiply numerator by numerator and denominator by denominator .


I hope that's help.

4 0
3 years ago
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A system of linear equations has infinitely many solutions based on inspection. What indicated that the system has infinitely ma
taurus [48]
The lines are on top of each other and don’t have one specific point where they meet. That’s what I would put
7 0
3 years ago
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Tamara is planting bushes around her house. So far today she has planted 5 bushes and she wants to plant at least 12 bushes toda
Naya [18.7K]

Answer:

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Step-by-step explanation:

Let the additional bushes to be planted be represented by a variable b

Since Tamara already planted 5 bushes, 5 will be a constant in the inequality ;

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b+5 ≥ 12 will be the inequality used to find number of bushes.

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3 years ago
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