Let `P= log_0.3((a-a^-1)/2)` a where `a = t an((3pi)/8) and Q= log_(cos_((2pi)/3)) b=sec 2010 pi`, then which of the following is true ?

Let f:(-pi/2,pi/2)-> RR be given by f(x) = (log(sec x + tan x))^3 Then which of the following is wrong?

Let f:(-pi/2,pi/2)-> RR be given by f(x) = (log(sec x + tan x))^3 Then which of the following is wrong?

Consider the following two statements P and Q. P: cos^(-1)(cos.(4pi)/(3))=(4pi)/(3) Q:sec^(2)(cot^(-1).(1)/(2))+"cosec"^(2)(tan^(-1).(1)/(3))=15 Then, which of the following true?

Consider the following two statements P and Q. P: cos^(-1)(cos.(4pi)/(3))=(4pi)/(3) Q:sec^(2)(cot^(-1).(1)/(2))+"cosec"^(2)(tan^(-1).(1)/(3))=15 Then, which of the following true?

If int_(0)^(pi//2) log(cosx) dx=pi/2 log (1/2), then int_(0) ^(pi//2) log (sec x ) dx =

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)}} contains which of the following interval(s)? (a) (3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_(e){(log)_(|sin x|)(x^(2)-8x+23)-{(3)/((log)_(2)|sin x|)} contains which of the following interval(s)? 3,pi)(b)(pi,(3 pi)/(2))(c)((3 pi)/(2),5) (d) none of these