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Question

If 2cosA=1 then the value of tan4A+cot4A

A
12
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B
13
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C
2
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D
1
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Solution

The correct option is C 2
Since, 2cosA=1
cosA=12
Since, cosθ=basehypotenuse
Here, base = 1 and hypotenuse = 2
using pythagoras
H2=P2+B2
(2)2=P2+12
P=1
tanA=perpendicularbase=1
and
cotA=baseperpendicular=1
tan4A+cot4A=14+14=2
Option C is correct.

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