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svet-max [94.6K]
3 years ago
14

Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonome

tric functions greater than 1.
2(sin^4)x
Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Step-by-step explanation:

Sin^2 (x) * Cos^2 (x) = {[1 - cos (2x)]/2}*{[1 + cos (2x)]/2}

Sin^2 (x) * Cos^2 (x) =[ 1 - cos^2 (2x)]/4

Sin^2 (x) * Cos^2 (x) = (1/4) - (1/4) * cos^2 (2x)

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/4) * {[1 + cos (2*2x)]/2}

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/8) * [1 + cos (4x)]

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/8) - (1/8)* [cos (4x)]

Sin^2 (x) * Cos^2 (x) =  (1/8) - (1/8)* [cos (4x)]

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Three cubic feet of seawater weigh 192 pounds.
sweet-ann [11.9K]

Answer:

<em>3731.2 pounds</em>

Step-by-step explanation:

<em>Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.</em>

<em>For 3 cubic feet of sea water, weight is 192 pounds</em>

<em>For 58.3 cubic feet of sea water,</em>

<em>( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds</em>

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3 years ago
Imagine drawing a figure with the following conditions: A quadrilateral with at least two right angles. Is the figure described
Mrac [35]

Answer:

The figure is NOT unique.

 Imagine the following quadrilaterals:

 Rectangle

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 We know that:

 Both quadrilaterals have at least two right angles.

 However, they are not unique because they depend on the lengths of their sides.

Step-by-step explanation:

To construct a quadrilateral uniquely, five measurements are required.  A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given or  if the lengths of its three sides and two diagonals are given.

Just given two angles we cannot construct a unique quadrilateral.  There may be an infinite number of quadrilaterals having atleast two right angles

Examples:

All squares with varying sides

All trapezoids with two right angles

All rectangles with different dimensions

and so on.

Answer is

No.

6 0
3 years ago
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Answer:

5 21 ²48⁴95839383838462901747493948

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Please help!! This is worth 20 points :DD
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Answer:

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Step-by-step explanation:

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