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Question

The value of tan(π4+θ)×tan(3π4+θ)

A
1
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B
1
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C
2
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12
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Solution

The correct option is C 1
tan(π4+θ)tan(3π4+θ)

=tan(π4+θ)cot(π2(3π4+θ))

=tan(π4+θ)cot(π4θ)

=tan(π4+θ)cot(π4+θ)

=tan(π4+θ)cot(π4+θ)
=1

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