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Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)
  • a)
    log √2/(1+√2)
  • b)
    -1
  • c)
    1
  • d)
    none of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the value of :- (log sin 1° + log sin 2° ……...
Writing the equation as :-

(log sin 1degree - log cos 89degree) + (log sin 2degree - log cos 88degree) + (log sin 3degree - log cos 87degree)… + log tan 1degree. log tan 89degree + log tan 2degree. log tan 88degree + ….

=) As cos(90−ϕ)=sinϕ:tan(90−ϕ)=cotϕ

=) (log sin 1degree - log sin 1degree) +(log sin 2degree  - log sin 2degree)+…..+ log tan 1degree cot 1degree  + log tan 2degree cot 2degree 

=) log 1 = 0
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Most Upvoted Answer
Find the value of :- (log sin 1° + log sin 2° ……...
Writing the equation as :-

(log sin 1° - log cos 89°) + (log sin 2° - log cos 88°) + (log sin 3° - log cos 87°)………… + log tan 1°. log tan 89° + log tan 2°. log tan 88° + …….

=) (log sin 1° - log sin 1°) +(log sin 2° - log sin 2°)+……..+ log tan 1°cot 1° + log tan 2°cot 2°

=) log 1 = 0
 
 
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Find the value of :- (log sin 1° + log sin 2° ……...
It seems like the expression is incomplete. Could you please provide the missing part of the expression?
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Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)a)log √2/(1+√2)b)-1c)1d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)a)log √2/(1+√2)b)-1c)1d)none of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)a)log √2/(1+√2)b)-1c)1d)none of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)a)log √2/(1+√2)b)-1c)1d)none of theseCorrect answer is option 'D'. Can you explain this answer?.
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