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soldi70 [24.7K]
3 years ago
11

Simplify (3x+5)(2x+3)

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

5x • 8

Step-by-step explanation:

First you'd switch the numbers around so they can work together.

(3x+2x)(5+3)

Then you add them together.

5x • 8

This would be the equation simplified.

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prove that sin theta cos theta = cot theta is not a trigonometric identity by producing a counterexample
Zolol [24]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Begin with the right hand side:

R.H.S = cot θ = \frac{cos \ \theta}{sin \ \theta}

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so, sin θ cos θ ≠ \frac{cos \ \theta}{sin \ \theta}

So, the equation is not a trigonometric identity.

=========================================================

<u>Anther solution:</u>

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

5 0
3 years ago
How to rationalize the denominator?​
VMariaS [17]

Step-by-step explanation:

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.

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Answer:

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the intercepted arc = 360° - 168° = 192°

Thus

y = \frac{1}{2} × 192° = 96°

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