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Find the value of sin^(-1)(√3/2) + cos^(-1)(1/2).
Find the value of sin^(-1)(√3/2) + cos^(-1)(1/2).
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Practice Questions
1 question
Q1
Find the value of sin^(-1)(√3/2) + cos^(-1)(1/2).
π/3
π/2
π/4
π/6
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sin^(-1)(√3/2) = π/3 and cos^(-1)(1/2) = π/3. Therefore, the sum is π/3 + π/3 = 2π/3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the value of sin^(-1)(√3/2) + cos^(-1)(1/2).
Solution:
sin^(-1)(√3/2) = π/3 and cos^(-1)(1/2) = π/3. Therefore, the sum is π/3 + π/3 = 2π/3.
Steps: 5
Show Steps
Step 1: Understand the notation sin^(-1)(x) and cos^(-1)(x). These represent the inverse sine and inverse cosine functions, respectively.
Step 2: Find the angle whose sine is √3/2. This is sin^(-1)(√3/2). The angle is π/3 (or 60 degrees).
Step 3: Find the angle whose cosine is 1/2. This is cos^(-1)(1/2). The angle is also π/3 (or 60 degrees).
Step 4: Add the two angles together: π/3 + π/3.
Step 5: Simplify the sum: π/3 + π/3 = 2π/3.
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