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If sin(θ) = 1/√2, what is the value of θ in degrees?
Practice Questions
Q1
If sin(θ) = 1/√2, what is the value of θ in degrees?
45°
30°
60°
90°
Questions & Step-by-Step Solutions
If sin(θ) = 1/√2, what is the value of θ in degrees?
Correct Answer: 45°
Steps
Concepts
Step 1: Understand that sin(θ) represents the sine of an angle θ.
Step 2: Know that sin(θ) = 1/√2 is a common value for sine.
Step 3: Recall that the sine function equals 1/√2 at specific angles.
Step 4: Recognize that one of those angles is 45 degrees.
Step 5: Conclude that if sin(θ) = 1/√2, then θ = 45°.
Trigonometric Functions
– Understanding the values of sine for common angles.
Inverse Trigonometric Functions
– Using the inverse sine function to find angle measures.
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