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yanalaym [24]
3 years ago
15

Find the value of Sin^-1(tan π/4).

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

Answer:

D

Step-by-step explanation:

1. Remind that

\tan \left(\dfrac{\pi }{4}\right)=1.

Here you can use trigonometric table to find the value of \tan\left(\dfrac{\pi}{4}\right), or you can remind that \dfrac{\pi}{4}=45^{\circ} and \tan45^{\circ}=1 because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.

2. Now

\sin^{-1}\left(\tan\left(\dfrac{\pi}{4}\right)\right)=\sin^{-1}1=\dfrac{\pi}{2},

because

\sin\dfrac{\pi}{2}=1.

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The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

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Substitute

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2 years ago
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Step-by-step explanation:

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3 years ago
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There are enough information's already given in the question. Based on those information's that answer can be easily deduced.
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4 years ago
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Answer:

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