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Arisa [49]
3 years ago
14

Verify the identity. sin(3pi - x) = sinx

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

we use the angle- sum and difference trigonometric identity to simplify the expression sin(3pi - x). This is equal to sin 3 pi cos x - cos 3 pi sin x. In this case, sin 3 pi  is equal to zero while cos 3 pi is equal to -1. Hence the answer simplified is equal to sin x .
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Step-by-step explanation:

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The circumference of a circle is obtained by multiplying the radius with 2π.

The circumference of a circle = 2 \pi r.

Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.

Step 2:

So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

So the circumference of the circle = 2(3.1415)(22) = 138.226 cm.

\frac{3}{4} (138.226) = 103.6695 cm and \frac{1}{4}(138.226) = 34.5565 cm.

So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.

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