Given: cos(arccos(1/3) + arcsin(x)) = 0
Since arccos(1/3) = 60 degrees, we have
cos(60 degrees + arcsin(x)) = 0
This means that 60 degrees + arcsin(x) is an angle of 90 degrees, or pi/2 radians.
Solving for arcsin(x), we get
arcsin(x) = pi/2 - 60 degrees = 30 degrees = pi/6 radians
Answer:
x=2/5
Step-by-step explanation:
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Answers & Comments
Given: cos(arccos(1/3) + arcsin(x)) = 0
Since arccos(1/3) = 60 degrees, we have
cos(60 degrees + arcsin(x)) = 0
This means that 60 degrees + arcsin(x) is an angle of 90 degrees, or pi/2 radians.
Solving for arcsin(x), we get
arcsin(x) = pi/2 - 60 degrees = 30 degrees = pi/6 radians
This means that x is the sine of 30 degrees, or 1/2.
Therefore, the value of x is 1/2.
Answer:
x=2/5
Step-by-step explanation:
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