My Learning Cart
?
Categories
Account

If x = sin^(-1)(1/2), then the value of cos(x) is:

β‚Ή0.0
Login to Download
  • πŸ“₯ Instant PDF Download
  • β™Ύ Lifetime Access
  • πŸ›‘ Secure & Original Content

What’s inside this PDF?

Question: If x = sin^(-1)(1/2), then the value of cos(x) is:

Options:

  1. 1/2
  2. √3/2
  3. 1
  4. 0

Correct Answer: √3/2

Solution: 

If x = sin^(-1)(1/2), then x = Ο€/6. Therefore, cos(x) = cos(Ο€/6) = √3/2.

If x = sin^(-1)(1/2), then the value of cos(x) is:

Practice Questions

Q1
If x = sin^(-1)(1/2), then the value of cos(x) is:
  1. 1/2
  2. √3/2
  3. 1
  4. 0

Questions & Step-by-Step Solutions

If x = sin^(-1)(1/2), then the value of cos(x) is:
  • Step 1: Understand that sin^(-1)(1/2) means we are looking for an angle x whose sine value is 1/2.
  • Step 2: Recall the unit circle or common angles. The angle x that has a sine of 1/2 is Ο€/6 (or 30 degrees).
  • Step 3: Now that we have x = Ο€/6, we need to find cos(x).
  • Step 4: Use the cosine value for the angle Ο€/6. The cosine of Ο€/6 is √3/2.
  • Step 5: Therefore, the value of cos(x) is √3/2.
  • Inverse Trigonometric Functions – Understanding how to evaluate inverse sine functions and their corresponding angles.
  • Trigonometric Identities – Applying the cosine function to known angles derived from inverse trigonometric functions.
Soulshift Feedback Γ—

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks