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If x = sin^(-1)(-1/2), then what is the value of x?
If x = sin^(-1)(-1/2), then what is the value of x?
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Practice Questions
1 question
Q1
If x = sin^(-1)(-1/2), then what is the value of x?
-π/6
π/6
-π/3
π/3
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sin^(-1)(-1/2) = -π/6, since sin(-π/6) = -1/2.
Questions & Step-by-step Solutions
1 item
Q
Q: If x = sin^(-1)(-1/2), then what is the value of x?
Solution:
sin^(-1)(-1/2) = -π/6, since sin(-π/6) = -1/2.
Steps: 6
Show Steps
Step 1: Understand that sin^(-1)(y) means 'what angle has a sine of y'.
Step 2: In this case, we need to find the angle whose sine is -1/2.
Step 3: Recall that the sine function is negative in the third and fourth quadrants.
Step 4: The angle that has a sine of 1/2 is π/6 (or 30 degrees).
Step 5: Since we need the sine to be -1/2, we look for the angle in the fourth quadrant, which is -π/6 (or -30 degrees).
Step 6: Therefore, x = sin^(-1)(-1/2) = -π/6.
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