Question

* satisfying the inequality (corx)2 – 7(cot1x)+10>0, lie in the interval: (1) (-0, cot 5) u (cot 4, cot 2) (2) (cot 2,00) (3)(-0, cot 5) u (cot 2,00) (4) (cot 5, cot 4)

JEE/Engineering Exams

Maths

Solution

2.0 (3 ratings)

Let ( cot ^{-1} x=t ) [ begin{array}{l} t^{2}-7 t+10>0 (t-2)(t-5)>0 frac{t}{2}-frac{1}{5} t in(-infty, 2) cup(5, infty) end{array} ] ( therefore cot ^{-1} x in(-infty, 2) cup(5, infty) ) 2) Tref but Rany of cet ( n ) is ( (0, pi) ) ( cot ^{-1} x ) ( epsilon quad(0,2) ) ( therefore x in(cot 2, infty) ) (2)