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If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?
If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?
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Practice Questions
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Q1
If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?
Pythagorean Identity
Double Angle Identity
Sum Formula
Product Formula
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This is known as the Double Angle Identity for sine.
Questions & Step-by-step Solutions
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Q: If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?
Solution:
This is known as the Double Angle Identity for sine.
Steps: 4
Show Steps
Step 1: Look at the equation given: sin(2θ) = 2sin(θ)cos(θ).
Step 2: Identify that this equation relates the sine of double an angle (2θ) to the sine and cosine of the original angle (θ).
Step 3: Recognize that this is a special formula used in trigonometry.
Step 4: Understand that this formula is called the Double Angle Identity for sine.
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