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Find the value of sin^(-1)(√3/2).
Find the value of sin^(-1)(√3/2).
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Practice Questions
1 question
Q1
Find the value of sin^(-1)(√3/2).
π/3
π/6
π/4
2π/3
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sin^(-1)(√3/2) = π/3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the value of sin^(-1)(√3/2).
Solution:
sin^(-1)(√3/2) = π/3.
Steps: 4
Show Steps
Step 1: Understand what sin^(-1) means. It is the inverse sine function, which gives you the angle whose sine is a given value.
Step 2: We need to find the angle whose sine is √3/2.
Step 3: Recall the unit circle or the common angles in trigonometry. The sine of π/3 (or 60 degrees) is √3/2.
Step 4: Therefore, sin^(-1)(√3/2) is the angle π/3.
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