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What is the value of csc 30°?
What is the value of csc 30°?
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Practice Questions
1 question
Q1
What is the value of csc 30°?
2
1/2
√3
1
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Cosecant is the reciprocal of sine. Since sin 30° = 1/2, csc 30° = 1 / (1/2) = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of csc 30°?
Solution:
Cosecant is the reciprocal of sine. Since sin 30° = 1/2, csc 30° = 1 / (1/2) = 2.
Steps: 6
Show Steps
Step 1: Understand that csc (cosecant) is the reciprocal of sin (sine).
Step 2: Find the value of sin 30°. It is known that sin 30° = 1/2.
Step 3: Use the definition of cosecant. Since csc θ = 1 / sin θ, we can write csc 30° = 1 / sin 30°.
Step 4: Substitute the value of sin 30° into the equation. So, csc 30° = 1 / (1/2).
Step 5: Calculate 1 / (1/2). This is the same as multiplying 1 by 2, which equals 2.
Step 6: Therefore, the value of csc 30° is 2.
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