FindÂ theẢ PrincipalÂ ValueÂ ofÂ sin -¹A (1/2)

1333

he

# FindÂ theẢ PrincipalÂ ValueÂ ofÂ sin -¹A (1/2)

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1333

he

FindÂ theẢ PrincipalÂ ValueÂ ofÂ sin -¹A (1/2)

1333

he

You must be logged in to post a comment.

Answer:2

x

√

1

−

x

2

Step-by-step explanation:Let

y

=

arcsin

x

, then

x

=

sin

y

sin

(

2

arcsin

x

)

=

sin

2

y

=

2

sin

y

cos

y

cos

2

y

+

sin

2

y

=

1

cos

2

y

=

1

−

x

2

⇒

cos

y

=

√

1

−

x

2

∴

sin

(

2

arcsin

x

)

=

2

x

√

1

−

x

2