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3 years ago

15

Which expression is equivalent to sin(1.8x) sin(0.5x)?

1 answer:

Rasek [7]3 years ago

3 0

Hum, this problem was difficult. You use the next expression to solve this problem. \[\cos (A - B) = \cos A \cos B + \sin A \sin B \] \[\cos (A + B) = \cos A \cos B - \sin A \sin B\] \[\cos (A - B ) - \cos (A +B ) =2 \sin A \sin B\] So \[\sin A \sin B = 0.5 \left( \cos(A - B) - \cos(A + B) \right)\] A = 1.8 x, B = 0.5 x \[\sin (1.8x) \sin (0.5x) = 0.5\left( \cos(1.8-0.5)x - \cos(1.8+0.5)x \right)\]\[= 0.5 \left( \cos(1.3x) - \cos (2.3x) \right)\] It's finish !!

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Bond [772]

Step-by-step explanation:

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Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o

REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have $2-4 = -2$ . If we subtract the third and second terms, we have $1-2 = -1$ .

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

$\dfrac{2}{4} = \dfrac{1}{2}$

If we divide the third and second terms, we have

$\dfrac{1}{2} = \dfrac{1}{2}$

Finally, if we divide the last two terms we have

$\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}$

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2

7 0

4 years ago

Please can someone help me, I'm stuck on this question. Please!!

Deffense [45]

It would be 91°. Angles M and R correspond to each other.

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3 years ago

How do i figure out [(3x²y³)2] ³

dybincka [34]

Answer:

216x⁶y⁹

Step-by-step explanation:

[(3x²y³)2]³

[6x²y³]³

[6]³.[x²]³.[y³]³

216.x⁶.y⁹

216x⁶y⁹

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2 years ago