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Question
The value of 2sinθ can be `a + 1/a`, where a is a positive number, and a ≠ 1.
Options
True
False
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Solution
This statement is False.
Explanation:
Let a = 2, then `a + 1/a = 2 + 1/2 = 5/2`
If 2sinθ = `a + 1/a`, then a
2sinθ = `5/2`
⇒ sinθ = `5/4` = 1.25
Which is not possible ...[∵ sin θ ≤ 1]
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