mrbrain00
mrbrain00 mrbrain00
  • 23-10-2021
  • Mathematics
contestada

tan9°. tan27°. tan45°. tan72°. tan81°= 1​

could u plz solve it with clear process

Respuesta :

Аноним Аноним
  • 23-10-2021

Correct question:-

Prove that tan9.tan17.tan45.tan73.tan81=1

LHS

[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]

[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]

[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]

[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]

[tex]\\ \sf\longmapsto 1.1[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

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