Question

If : 4sin 1x + cos –1x = pie, find x.

need full solution​

Answer 1

Answer:

Given: 4sin

−1

x+cos

−1

x=π

We know that sin

−1

x+cos

−1

x=

2

π

⇒cos

−1

x=

2

π

−sin

−1

x

Now we have,

4sin

−1

x+cos

−1

x=π

⇒4sin

−1

x+

2

π

−sin

−1

x=π

⇒3sin

−1

x=π−

2

π

⇒3sin

−1

x=

2

2π−π

⇒3sin

−1

x=

2

π

⇒sin

−1

x=

6

π

⇒x=sin(

6

π

)=

2

1

∴x=

2

1