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Ilya [14]
3 years ago
15

Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x

Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

Step-by-step explanation:

sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x

I hope I helped you.

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3 times a number X is at least negative 18​
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Solve using elimination PLEASE I NEED HELP!!! IT WOULD REALLY MEAN A LOT IF ANYONE CAN ANSWER THIS! 16 POINTS!!!
Marysya12 [62]

Answer:

  (x, y) = (2, -3/4)

Step-by-step explanation:

The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.

The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.

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Then the solution is ...

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_____

A graphing calculator confirms this solution.

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3 years ago
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