the numerical value of tan 20 degree tan 80 degree cot 50 degree is equal to

Dear student,

Kindly find the answer to your query:
tan20tan80cot50 = tan20tan80cot90-50 =tan20tan80tan40 = tan20tan40tan80
Now

   tan40.tan80.tan20

=(sin40 sin80)sin20/cos40 cos80(cos20)

=(2sin40 sin80) sin20 / (2cos40 cos80)cos20

=(cos40- cos120) sin20 / (cos120 + cos40) cos20

=(2cos40 + 1)sin20 /  (2cos40 - 1) cos20

=2cos40sin20 + sin20 / 2cos40cos20 - cos20

=sin60 - sin20 + sin20 / cos60 + cos20  - cos20

=sin60/cos60

=tan60 = 3.


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Regards

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