Which of the following is/are positive `log_(sin1)tan1` `log_(cos1) (1+tan 3), ` `log_(log_(10)5)(costheta+sectheta)` `log_ (tan15^@)(2sin 18^@) `

Which of the following numbers are positive/negative? log_(2)7( ii) log_(0.2)3 (iii) log_(1/3)((1)/(5))log_(4)3(v)log_(2)(log_(2)9)

Which of the following is(are) non-negative ? a. log_3(log_(1/7) (1/6)), b. 5^(log_2 3- 7^log_3 2, c. (log_(10) 5)^2-(log_(10) 2)^2+log_(10) 4-1, d. (log_(0.01)2)^(1/3)

log_(2)sin x-log_(2)cos x-log_(2)(1-tan x)-log_(2)(1+tan x)=-1

If log_2(sinx)-log_2(cos x)-log_2(1-tan x)-log_2(1+ tan x)=-1 then tan 2x =

the value of e^(log_(10)tan1^@+log_(10)tan2^@+log_(10)tan3^@....+log_(10)tan89^@

log_(10) tan 1^(@) + log_(10) tan 2^(@) +....+ log_(10) tan 89^(@) =

What is the value of log_10(costheta) + log_10(sin theta) + log_10(tan theta)+ log_10(cottheta)+ log_(10)(sec theta) + log_(10)(cosec theta) ?

Prove that : log_(10)tan1^(@)*log_(10)tan2^(@)...log_(10)tan89^(@)=0

log_(10)tan 1^(@)+log_(10)tan2^(@)+…..+log_(10)tan89^(@) is equal to :