Math, asked by yaseenaman526, 28 days ago

Find x if Sin^-1 = tan^-1 x

Answers

Answered by priyambadapradhan989
0

Answer:

tan

−1

x=

2

π

−sin

−1

x

tan

−1

x=cos

−1

x

tan

−1

x=tan

−1

x

1−x

2

x=

x

1−x

2

x

2

=

1−x

2

On squaring both sides

x

4

=1−x

2

x

4

−x

2

−1=0

x

2

=

2

−1±

1+4

There are two possibilities solution -ve and +ve

When -ve taken x

2

=

2

−1−

5

When +ve taken x

2

=

2

−1+

5

2x

2

=

5

−1

Hence proved

Step-by-step explanation:

tan

−1

x=

2

π

−sin

−1

x

tan

−1

x=cos

−1

x

tan

−1

x=tan

−1

x

1−x

2

x=

x

1−x

2

x

2

=

1−x

2

On squaring both sides

x

4

=1−x

2

x

4

−x

2

−1=0

x

2

=

2

−1±

1+4

There are two possibilities solution -ve and +ve

When -ve taken x

2

=

2

−1−

5

When +ve taken x

2

=

2

−1+

5

2x

2

=

5

−1

Hence proved

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