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If tan^(-1)(x) = π/4, then the value of x is:
If tan^(-1)(x) = π/4, then the value of x is:
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Q1
If tan^(-1)(x) = π/4, then the value of x is:
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tan^(-1)(x) = π/4 implies that x = tan(π/4) = 1.
Questions & Step-by-step Solutions
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Q
Q: If tan^(-1)(x) = π/4, then the value of x is:
Solution:
tan^(-1)(x) = π/4 implies that x = tan(π/4) = 1.
Steps: 5
Show Steps
Step 1: Understand that tan^(-1)(x) means the angle whose tangent is x.
Step 2: The equation tan^(-1)(x) = π/4 tells us that the angle is π/4 radians.
Step 3: Recall the value of tangent at π/4. We know that tan(π/4) = 1.
Step 4: Since tan^(-1)(x) = π/4, we can say that x must equal tan(π/4).
Step 5: Therefore, x = 1.
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