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What is the value of sin 2θ?
What is the value of sin 2θ?
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Practice Questions
1 question
Q1
What is the value of sin 2θ?
2sin θ cos θ
sin^2 θ + cos^2 θ
sin θ + cos θ
2sin^2 θ
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The double angle formula states that sin 2θ = 2sin θ cos θ.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of sin 2θ?
Solution:
The double angle formula states that sin 2θ = 2sin θ cos θ.
Steps: 5
Show Steps
Step 1: Understand that 'sin 2θ' means the sine of double the angle θ.
Step 2: Learn the double angle formula for sine, which is 'sin 2θ = 2sin θ cos θ'.
Step 3: Identify the values of 'sin θ' and 'cos θ' if they are given or needed.
Step 4: Substitute the values of 'sin θ' and 'cos θ' into the formula 'sin 2θ = 2sin θ cos θ'.
Step 5: Calculate the result to find the value of 'sin 2θ'.
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