how do i calculate this? | Mathematics | Page 1

fair socket Jun 9, 2024, 2:25 PM

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arcsin(sin2)

timber mesaBOT Jun 9, 2024, 2:25 PM

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fair socket arcsin(sin2)

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proven citrus Jun 10, 2024, 2:02 AM

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fair socket arcsin(sin2)

Arc sine can cancel out sine , but if see closely the range of arcsin is
[-pi/2,pi/2]

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And if try to calculate 2 is greater than pi/2 which means the angle is somewhere in second quadrant, and sin is positive in both first and second quadrant

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So , as arcsin ' s range only include first and fourth quadrant, we have find the angle in first quadrant which value is also equals to sin2

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As we can see, now we have to figure out which angle in first quadrant is equal to sin 2
or you can just the formula
sin(pi - 2) = sin 2
and arcsin will cancel out the sin and your answer will be
pi-2

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If you need explanation of how did I convert it to
pi - 2

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pls react 💛

#how do i calculate this?