It is given in the question that
[tex]sin \theta =0.8[/tex]
TO solve for theta, we have to take inverse function, that is
[tex]\theta = sin^{-1}(0.8) =53.13 degree[/tex]
And to convert degree to radian, we have to multiply the angle by
[tex]\frac{ \pi}{180}[/tex]
That is
[tex]\theta = 53.13 * \frac{ \pi}{180} = 0.93 radian[/tex]
Therefore the angle is radian is 0.93 radian .
The radian measure of the the angle is 0.93 radians .
The radian is an S.I. unit that is used to measure angles and one radian is the angle made at the center of a circle by an arc whose length is equal to the radius of the circle.
1 Radian = 180°/π
1 Radian = 57.296 degrees (approx.)
According to the question
sin x = 0.8
x = [tex]sin^{-1} (0.8)[/tex]
x = 53.13 degree
Now,
1 Radian = 180°/π
or 1° = (π/180) radians
Therefore,
x = 53.13° * (π/180) radians ( π = [tex]\frac{22}{7}[/tex])
x = 0.93 radians
Hence, The radian measure of the the angle is 0.93 radians .
To know more about radian here:
https://brainly.com/question/7721249
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