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The simplest value of cot9° cot27° cot63° cot 81° is
  • a)
    0
  • b)
    1
  • c)
    -1
  • d)
    √3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The simplest value of cot9° cot27° cot63° cot 81° isa)...
We know that cotθ = tan(90° - θ)
Cot63° = tan(90° - 63°)
Cot63° = tan27°
And cot81° = tan9°
cot9° cot27° cot63° cot 81°
= cot9° cot27° tan27° tan9°
We know that tanθcotθ = 1
= 1
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The simplest value of cot9° cot27° cot63° cot 81° isa)0b)1c)-1d)√3Correct answer is option 'B'. Can you explain this answer?
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