if the sides a,b,c of a triangle ABC
are in A.P. and if
sin A =(sin B +sin C)cos α
sin B =(sin C+sin A)cos β
sin C =(sin A +sin B)cos γ
then find the value of
tan^2 (α/2)+tan^2 (γ/2)
find the number of values of cot θ
where θ∈[(π/(12)) (π/2)] satisfying the
equation [tan θ.[cot θ]]=1 ?
(where [x] is greatest integer
less than or equal to x)
Given 4^x +4^(−x) −2^(2−x) +2^(2+x) −7=0 ,x>0
find 2^x +2^(−x) .
if x∈[ −(π/6),0 ] then minimum value of
function f(x)=cot (x+(π/3))−tan (((2π)/3)−x)
when x = ?