Q write the range of the function f(x)=sin[x],where x belongs to[-pi/4,pi/4] Q write the range of function f(x)=cos[x],where x - Maths - Relations and Functions

Question

Q write the range of the function f(x)=sin[x],where x belongs
to[-pi/4,pi/4]
Q write the range of function f(x)=cos[x],where x belongs to
(-pi/2,pi/2)
Q write the range of the function f(x)=e^(x-[x] ),x may be real
num

Vinay Kumar Sharma · Accepted Answer

the range of the function f(x)=sin[x],where x belongs
to[-pi/4,pi/4]
the domain of a sine function sin(x) is a complete real number
set, (-infi , infi)
so there no any value of x which gives non defined ,
so, range of sin(x) is all the real numbers between -1 to 1
,
hence, Range of sin(x) s [-1,1]
we can find this ans on studying graph of sin(x), which continue
to bounce between -1 to1

Q.write the range of the function f(x)=sin[x],where x belongs to[-pi/4,pi/4]. Q.write the range of function f(x)=cos[x],where x belongs to (-pi/2,pi/2). Q.write the range of the function f(x)=e^(x-[x] ),x may be real num.

Q.write the range of the function f(x)=sin[x],where x belongs to[-pi/4,pi/4].

Q.write the range of function f(x)=cos[x],where x belongs to (-pi/2,pi/2).

Q.write the range of the function f(x)=e^(x-[x] ),x may be real num.