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mojhsa [17]
2 years ago
8

What is the shortest horizontal shift of a sine curve that will turn it into a cosine curve?

Mathematics
1 answer:
77julia77 [94]2 years ago
3 0

The shortest horizontal shift of a sine curve that will turn it into a cosine curve is a shift of <u>90°( π/2 radians)</u>.

The function y = sin x defines a sine wave as a geometric waveform that oscillates (moves up, down, or side to side) frequently. It is an s-shaped, smooth wave that oscillates above and below zero, to put it another way.

Technical analysis and trading both employ sine waves to assist spot oscillator-related patterns and cross-overs.

Similar to the sine graph, the cosine graph is an up-down graph. The sine graph and cos graph are identical except that the sine graph begins at 0, whereas the cos graph begins at <u>90° (or π/2)</u>. The cosine (cos) graph shown below starts at 1 and drops to -1 before rising once again.

Thus, the shortest horizontal shift of a sine curve that will turn it into a cosine curve is a shift of <u>90°( or π/2 radians)</u>.

Learn more about sine and cosine curves at

brainly.com/question/17075439

#SPJ4

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A conjecture and the flowchart proof used to prove the conjecture are shown.
amm1812

Answer:

∠1 + ∠2 + ∠3 = 180°

Step-by-step explanation:

Given :  AB II XC

To Show : ∠1 + ∠2 + ∠3 = 180°

Proof: Here, given that AB is parallel to the line XC

⇒  ∠4  =  ∠2  (Pair of Alternate angles as AB II XC)  .........  (1)

and ∠5  =  ∠3 (Pair of Alternate angles as AB II XC) ...........  (2)

Now, ∠1 + ∠4 + ∠5  = 180° ( Straight Angle)

But, from above (1) and (2)

∠1 + ∠2 + ∠3   =   180°  ( as ∠4  =  ∠2,  ∠5  =  ∠3)

Hence, ∠1 + ∠2 + ∠3   =   180°

Hence Proved.

7 0
3 years ago
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VladimirAG [237]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Two Parallel lines are cut by a transcersal and form a pair of alternate exterior angles. One angle measures (6x + 5) and the ot
zaharov [31]

Answer:

11° is the measure of the exterior angles

Step-by-step explanation:

Theorem:   Alternate exterior angles are congruent when two parallel lines cut by a transversal.

First we solve for x using the theorem

6x + 5 = 7x + 4

x = 1

Substitute x = 1 into 6x + 5

6(1) + 5 = 6 + 5 = 11°

4 0
3 years ago
If line TW is parallel to line SX , m ∠ 1 = 59°, and m ∠ 6 = 72°, what is m ∠ 8?
choli [55]
Angle 1 and Angle 8 are Alternate Exterior Angles. Therefore, by the Alternate Exterior Angle Theorem, the measure of angle 8 is also 59 degrees. Hope this helped!
7 0
4 years ago
1. Today Amy’s bank account contains $116.85. Yesterday she made a deposit of $32.50. What was the bank account balance before A
V125BC [204]
Amy had $84.35 before the deposit.
$116.85 - $32.50 = $84.35
8 0
4 years ago
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