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iragen [17]
3 years ago
5

Find all solutions to the equation in the interval [0, 2TT). Cos x= sin 2x (1 point)

Mathematics
1 answer:
igomit [66]3 years ago
6 0

You can use the formula for the double angle of the sine to write

\sin(2x)=2\sin(x)\cos(x)

To turn the equation into

2\sin(x)\cos(x)=\cos(x)

Move everything to the left hand side to have

2\sin(x)\cos(x)-\cos(x)=0

Factor \cos(x) to have

\cos(x)(2\sin(x)-1)=0

A factor equals zero if and only if one of its factor equals zero. So, either

\cos(x)=0

or

2\sin(x)-1=0 \iff 2\sin(x)=1\iff \sin(x)=\dfrac{1}{2}

I assume that you have a table to lookup for these known values. If you have troubles solving for x, hit me up in the comments

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ASHA 777 [7]

Answer:

brainly.com/question/12500028

Step-by-step explanation:

brainly.com/question/12500028

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Climbing at an indoor rock-climbing gym costs $8 per hour. Lizbeth has a $30 gift card to spend at the gym. Write an algebraic e
Aleks04 [339]

Answer:

8h=30

Lizbeth can not climb for 4.5 hours.

Step-by-step explanation:

If you plug in 4.5 for h you get

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Therefore Lizbeth can't climb for 4.5 hours

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3 years ago
What is the slope of the line that goes through<br> (2,-2) and (-1, 1)?
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Step-by-step explanation:

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3 years ago
The algebraic expression 0.07d^3/2 describes the duration of a storm, in hours, whose diameter is d miles. use a calculator to d
Shkiper50 [21]

Answer:

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Step-by-step explanation:

Put the given number in the formula and do the arithmetic. The value of "d" is given as 7, so you are evaluating the expression ...

  duration = 0.07×7^(3/2) . . . . put 7 where "d" is in the expression

  = 0.07×18.520 . . . . . . . . . . . . evaluate 7^(3/2)

  = 1.2964 . . . . . . . . . . . . . . . . . do the multiplication

  ≈ 1.30 . . . . rounded to hundredth

The duration of a storm 7 miles in diameter is predicted to be 1.30 hours.

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With a suitable calculator, this can all be done at once.

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3 years ago
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