This is a trigonometric assignment. Can you please help me with question number 32 as i am confused due to the use of logarithmic . Thanks

Dear student

Log a + log b + log c = log abc

Similarly here
Log tan1 + log tan 2 ....= Log tan1*tan2*tan3..tan 89

= Log 1= 0

For tan1*tan2*...tan89 =1, please follow the link below

https://www.askiitians.com/forums/Trigonometry/23/20515/query.htm

Regards