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Evaluate tan(sin^(-1)(1/√2)).
Evaluate tan(sin^(-1)(1/√2)).
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Practice Questions
1 question
Q1
Evaluate tan(sin^(-1)(1/√2)).
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√2
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If sin(x) = 1/√2, then x = π/4, thus tan(sin^(-1)(1/√2)) = tan(π/4) = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate tan(sin^(-1)(1/√2)).
Solution:
If sin(x) = 1/√2, then x = π/4, thus tan(sin^(-1)(1/√2)) = tan(π/4) = 1.
Steps: 5
Show Steps
Step 1: Understand that sin^(-1)(1/√2) means we are looking for an angle x such that sin(x) = 1/√2.
Step 2: Recall that sin(π/4) = 1/√2. Therefore, we can say that x = π/4.
Step 3: Now we need to find tan(x). Since we found that x = π/4, we need to calculate tan(π/4).
Step 4: Recall that tan(π/4) = 1.
Step 5: Therefore, tan(sin^(-1)(1/√2)) = tan(π/4) = 1.
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