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pishuonlain [190]
3 years ago
11

Prove that : sin^4(2x)=3/8-1/2cos4x+1/8cos8x Someone plzz help!!!

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
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What is the value of x? 4x=5x–12
Eva8 [605]
4x=5x-12
subtract 5x from each side
-x=-12
to get a positive x multiply each side by a -1
x=12

Hope I helped :)
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Simplify the ratio 14:34
PIT_PIT [208]

The largest number that both are divisible by is 2 (also known as GCF, or greatest common factor).

14/2 = 7

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Therefore, the simplified ratio is 7:17.

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2 years ago
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Example 2: Identify the reference angle.<br> A)<br> 135°<br> B)<br> 260°<br> C) <br> 310
jonny [76]

Answer:

A) 45

B) 80

C) 50

Step-by-step explanation:

When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.

When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.

When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.

When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.

4 0
2 years ago
Given point A at(3,7) and point B at(14,9), find vector AB.<br><br> Show working out please.
lakkis [162]

Answer:

The vector AB is represented by (11, 2).

Step-by-step explanation:

Given two points on the same plane, we can determine the vector \overrightarrow{AB} by this formula:

\overrightarrow{AB} = B(x,y) - A(x,y) (1)

Where:

A(x,y) - Coordinates of point A.

B(x, y) - Coordinates of point B.

If we know that A(x,y) = (3, 7) and B(x,y) = (14,9), then the vector AB is:

\overrightarrow {AB} = (14,9) - (3,7)

\overrightarrow{AB} = (11, 2)

The vector AB is represented by (11, 2).

7 0
2 years ago
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