If ` tan 2A = cot (A- 18^@ ) ` where ` 2A ` is an acute angle, find the value of A.

If sec 4 A = cosec ( A - 20 ^@ ) , where 4 A is an acute angle, find the value of A.

If sin 3A = cos (A-10^(@)) where 3A is an acute angle, find the value of A.

If sec 2A=cosec (A-27^(@)) ,where 2A Is an acute angle,then the measure of angleA is:

If sin A=(1)/(2tan^(2)45^(@)) ,where 'A' is an acute angle,then the value of A is:

If cosec theta =2 cot theta=sqrt(3) p,where ' theta ' is an acute angle,then the value of p is:

( 1 + tan ^ 2 A ) /( 1 + cot ^ 2 A ) =

In fig. find tan P - cot R .

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

Find the value of tan 45°+ cot 45°