Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Which of the following pair of functions are identical? (a)
1
+
sin
x
,
sin
x
2
+
cos
x
2
\sqrt{1 + \sin x}, \sin \frac{x}{2} + \cos \frac{x}{2}
1
+
sin
x
,
sin
2
x
+
cos
2
x
(b)
x
,
x
2
x, \frac{x}{2}
x
,
2
x
(c)
x
2
,
(
x
)
2
\sqrt{x^2}, (\sqrt{x})^2
x
2
,
(
x
)
2
(d)
ln
x
3
+
ln
x
2
,
5
ln
x
\ln x^3 + \ln x^2, 5 \ln x
ln
x
3
+
ln
x
2
,
5
ln
x
Browse the problem library