My Learning Cart
?
Categories
Account

If sin A = 0.6, what is the value of tan A?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If sin A = 0.6, what is the value of tan A?

Options:

  1. 0.8
  2. 1.2
  3. 0.75
  4. 1.5

Correct Answer: 1.2

Solution: 

Using the identity tan A = sin A / cos A, we find cos A = sqrt(1 - (0.6)^2) = 0.8, thus tan A = 0.6 / 0.8 = 0.75.

If sin A = 0.6, what is the value of tan A?

Practice Questions

Q1
If sin A = 0.6, what is the value of tan A?
  1. 0.8
  2. 1.2
  3. 0.75
  4. 1.5

Questions & Step-by-Step Solutions

If sin A = 0.6, what is the value of tan A?
  • Step 1: We know that sin A = 0.6.
  • Step 2: We use the identity tan A = sin A / cos A.
  • Step 3: To find cos A, we use the Pythagorean identity: cos^2 A + sin^2 A = 1.
  • Step 4: Substitute sin A into the identity: cos^2 A + (0.6)^2 = 1.
  • Step 5: Calculate (0.6)^2, which is 0.36.
  • Step 6: Now we have cos^2 A + 0.36 = 1.
  • Step 7: Subtract 0.36 from both sides: cos^2 A = 1 - 0.36.
  • Step 8: Calculate 1 - 0.36, which is 0.64.
  • Step 9: Now we have cos^2 A = 0.64.
  • Step 10: Take the square root of both sides to find cos A: cos A = sqrt(0.64) = 0.8.
  • Step 11: Now we can find tan A using the values we have: tan A = sin A / cos A = 0.6 / 0.8.
  • Step 12: Calculate 0.6 / 0.8, which equals 0.75.
  • Trigonometric Identities – Understanding the relationship between sine, cosine, and tangent functions.
  • Pythagorean Identity – Using the identity sin²A + cos²A = 1 to find the cosine value.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks