3 years ago

Work out the surface area?

Mathematics

1 answer:

Paladinen [302]3 years ago

7 0

84.95 square inches

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(a) Find an angle between 0 and 2π that is coterminal with −19π10.

Katarina [22]

Answer:

$\dfrac{\pi}{10}$ .

Step-by-step explanation:

All coterminal angles of an angle $\theta$ are defined as

$\theta +2n\pi$ or $\theta + n360^{\circ}$

where, n is an integer.

The given angle is

$\theta=-\dfrac{19\pi}{10}$

So, all coterminal angles of an angle $\theta$ are

$-\dfrac{19\pi}{10}+2n\pi$

For n=1,

$\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi$

$\Rightarrow -\dfrac{19\pi}{10}+2\pi$

$\Rightarrow \dfrac{-19\pi+20\pi}{10}$

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Since, $\dfrac{\pi}{10}$ between 0 and 2π, therefore, the required coterminal angle is $\dfrac{\pi}{10}$ .

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Step-by-step explanation:

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