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If y = sin^(-1)(x), then x = sin(y) implies:
Practice Questions
Q1
If y = sin^(-1)(x), then x = sin(y) implies:
y = x
y = -x
y = 1-x
y = 1+x
Questions & Step-by-Step Solutions
If y = sin^(-1)(x), then x = sin(y) implies:
Steps
Concepts
Step 1: Understand that sin^(-1)(x) means the inverse sine function, which gives you an angle y such that sin(y) = x.
Step 2: If we say y = sin^(-1)(x), it means we have found an angle y for which the sine of that angle equals x.
Step 3: The equation x = sin(y) is simply stating that if you take the sine of the angle y, you will get back x.
Step 4: Therefore, by the definition of the inverse sine function, if y = sin^(-1)(x), then it is true that x = sin(y).
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