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Question

The value of cot(π4+θ).cot(π4θ) is

A
1
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B
2
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C
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D
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Solution

The correct option is B 1
cot(π4θ).cot(π4+θ)
=1tan(π4θ)×1tan(π4+θ)
=1+tanθ1tanθ×(1tanθ1+tanθ)
=1

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