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Zanzabum
3 years ago
5

Find the value of Sin^-1(tan (pi/4)) a.0 b.pi c.2 d.pi/2

Mathematics
2 answers:
raketka [301]3 years ago
8 0

Answer:

D

Step-by-step explanation:

ahrayia [7]3 years ago
6 0

we are given

sin^{-1}(tan(\frac{\pi}{4}))

Let's assume entire term as x

sin^{-1}(tan(\frac{\pi}{4}))=x

now, we can take both sides as sin

sin(sin^{-1}(tan(\frac{\pi}{4})))=sin(x)

since, sin and sin^-1 are inverse of each other

so, they will get cancelled

and we get

tan(\frac{\pi}{4})=sin(x)

now, we know that

tan(pi/4)=1

1=sin(x)

and sin is 1 at pi/2

so, we get

x=\frac{\pi}{2}

so, option-D.........Answer

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