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Question

If tan2tan2017tan2019tan2019tan2017tan2=a such that a=tanx, where x is an acute angle in degree, then the value of x is

A
60
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B
0
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C
15
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D
45
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Solution

The correct option is D 45
2019=2017+2
Taking tan on both sides, we get
tan2019=tan(2017+2)tan2019=tan2017+tan21tan2017tan2tan2019tan2019tan2017tan2=tan2017+tan2tan2tan2017tan2019tan2019tan2017tan2=1

As tan45=1,
x=45

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