My Learning Cart
?
Categories
Account

If cos(θ) = 0.6, what is sin²(θ)?

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

What’s inside this PDF?

Question: If cos(θ) = 0.6, what is sin²(θ)?

Options:

  1. 0.36
  2. 0.64
  3. 0.8
  4. 0.2

Correct Answer: 0.64

Solution: 

Using the identity sin²(θ) + cos²(θ) = 1, sin²(θ) = 1 - 0.6² = 0.64.

If cos(θ) = 0.6, what is sin²(θ)?

Practice Questions

Q1
If cos(θ) = 0.6, what is sin²(θ)?
  1. 0.36
  2. 0.64
  3. 0.8
  4. 0.2

Questions & Step-by-Step Solutions

If cos(θ) = 0.6, what is sin²(θ)?
  • Step 1: Start with the given value of cos(θ), which is 0.6.
  • Step 2: Recall the identity that relates sin²(θ) and cos²(θ): sin²(θ) + cos²(θ) = 1.
  • Step 3: Substitute the value of cos(θ) into the identity. Since cos(θ) = 0.6, we have cos²(θ) = 0.6².
  • Step 4: Calculate 0.6², which is 0.36.
  • Step 5: Now substitute this value back into the identity: sin²(θ) + 0.36 = 1.
  • Step 6: To find sin²(θ), subtract 0.36 from 1: sin²(θ) = 1 - 0.36.
  • Step 7: Calculate 1 - 0.36, which equals 0.64.
  • Step 8: Therefore, sin²(θ) = 0.64.
  • Pythagorean Identity – The relationship between sine and cosine functions, specifically sin²(θ) + cos²(θ) = 1.
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