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If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
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Practice Questions
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Q1
If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
36.87°
45°
53.13°
60°
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Using inverse sine, θ ≈ 36.87°
Questions & Step-by-step Solutions
1 item
Q
Q: If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
Solution:
Using inverse sine, θ ≈ 36.87°
Steps: 5
Show Steps
Step 1: Understand that sin(θ) = 0.6 means we are looking for an angle θ whose sine value is 0.6.
Step 2: Use the inverse sine function, which is written as sin⁻¹ or arcsin, to find θ.
Step 3: Input the value 0.6 into the inverse sine function: θ = sin⁻¹(0.6).
Step 4: Use a calculator or a sine table to find the value of θ.
Step 5: The calculator will give you θ ≈ 36.87°.
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