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AfilCa [17]
2 years ago
14

For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation

in the interval [0,2π).
Mathematics
1 answer:
Archy [21]2 years ago
4 0

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

sin2x+cosx=0

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

2sinxcosx+cosx=0\\

cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\

Principal solution is x=\frac{\pi}{2} , \frac{-\pi}{6}

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

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Katarina [22]
Dear Mendozaaj55, 12x + 3y = 6 is a linear function. To find the y-intercept set x = 0 and solve --> 3y = 6 --> y = 2. Therefore, the y-intercept is (0,2). To find the x-intercept, set y = 0 and solve. 12x = 6 ---> x = .5---> the x-intercept is the coordinate (.5, 0). Best.
7 0
3 years ago
Find the missing side length. Show all work.<br> first right answer with right work gets 500 points
leva [86]

Answer:

x=14 \tan 61^{\circ}

Step-by-step explanation:

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4 0
1 year ago
Which diagram shows ∠1 and ∠2 as vertical angles?
Mariulka [41]
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6 0
3 years ago
How many 1/3 liters are in 4 2/3 liters
jonny [76]

Answer:

14

Step-by-step explanation:

This is a division problem.

We want to find how many 1/3 liters are in 4⅔ liters.

We divide to obtain:

\frac{4 \frac{2}{3} }{ \frac{1}{3} }

Or

4 \frac{2}{3}  \div  \frac{1}{3}

Convert to improper fraction.

\frac{14}{3}  \div  \frac{1}{3}

\frac{14}{3}  \times  \frac{3}{1}

This simplifies to

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5 0
3 years ago
The coaches at Xavier Elementary School bought cases of sports drinks for a field day. They bought 76 cases of drinks. Each case
solong [7]

Answer:

608

Step-by-step explanation:

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