Question

Is 0.1is possible value
for sin theta

Answer 1

Yes 0.1 is a possible value for sin theta

• The range of the function of sin theta is [-1,1].
• It means that sin theta can take any value between -1 and +1.
• 0.1 lies in this range so it is a possible value.
• For very small values, like 0.1,
• sin 0.1 ≈ 0.1
• Exact value of sin⁻¹ ( 0.1 ) = 0.10016742
• sin theta can be 0.1 in second quadrant too.
• To find that value we have,
• theta = π - 0.10016742 = 3.04142523
• ∴ theta = 3.04142523 or theta = 0.10016742