CAT Practice : Trigonometry

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Max and Min value of the given expression

Trigonometry and Logarithm

    Q.7: 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°)
    1. log √2/(1+√2)
    2. -1
    3. 1
    4. none of these

 

  • Correct Answer
    Choice D. none of these

Explanatory Answer

Detailed Solution

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° + …….

=) As

=) (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

Answer choice (D)

Correct Answer: none of these



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