If f(x) =(sinx -sina) ÷(cosx-cosa), x≠a=1, x=a is continuous, at x=a find a
Rutuja mangle , 6 Years ago
Grade 12
IIT JEE Entrance Exam> If f(x) =(sinx -sina) ÷(cosx-cosa), x≠a =...
2 Answers
Arun
Last Activity: 6 Years ago
Dear student
for continuity Limit and value of function should be same.
Now f(a) = 1
limit x tends a f(x) = – tan a
hence a = – pi/4
a can be other values too at which tan a = – 1
Bhagyashri verma
Last Activity: 6 Years ago
Hi,
we know, 
and 
so, For function to be continuous limit x-> a f(x) = f(a)
hence, LHS
=
RHS f(a) =1
for continuity lim x->a LHS = RHS hence tan a = -1
so, a = 
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