Questions
The range of the function
a
0,32
b
−32,32
c
−32,0
d
None of these
detailed solution
Correct option is A
For y to be defined, π216−x2≥0⇒π4−xπ4+x≥0⇒x−π4x+π4≤0⇒−π4≤x≤π4∴Domain of y =−π4,π4Clearly, for x∈−π4,π4,π216−x2∈0,π4Since sin x is an increasing function on 0,π4Therefore, sin0≤sinπ216−x2≤sinπ4⇒0≤3sinπ216−x2≤32⇒0≤y≤32∴Range of y =0,32Talk to our academic expert!
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