1) Find the minimum positive period of function f(x)

2) Find the maximum and minimum values of the function f(x) on [0, Pi/2].

According to? sin(2x)=？ 2sinxcosx？ ; cos(2x)=？ 2cos？ x？ -? 1

f(x)？ =? 2sinxcosx+2cosxcosx？ -? 1?

=? sin(2x)？ +? cos(2x)？ +? 1? -? 1?

=? sin(2x)？ +? cos(2x)？

=? √2? *? [√2/2 inch (2 times)? +? √2/2co(2x)？ ]

=? √2? *? sin(2x？ +? 45 )

So: (1)? f(x)？ The minimum positive period of is 360/? 2? =? 180, or what is the minimum positive period of radian? Pi?

⑵? Function f(x)? Maximum value on [0, π/2]: f(x? =? π/8)? =√2? *? Crime (90)? =? √2

Function f(x)? Minimum value on [0, π/2]: f(x? =? π/2)? =√2? *? sin( 180？ +? 45 )? =? -? 1