The detailed process of solving the answer of analytic function in compulsory four of senior high school mathematics - Training Enrollment Network

The detailed process of solving the answer of analytic function in compulsory four of senior high school mathematics

f(x)= cosx *( 1/2)+sin2x *(ì3/2)+2sin(x-π/4)cos(x-π/4)

=( 1/2)cos2x+(√3/2)sin2x+sin(2x-π/2)

=( 1/2)cos2x+(√3/2)sin2x-cos2x

=(√3/2)sin2x-( 1/2)cos2x

=sin(2x-π/6)

T=2π/2=π

Symmetry axis equation:

2x-π/6=π/2+2kπ

x=π/3+kπ

(2)

-π/ 12≤x≤π/2

-π/6≤2x≤π

-π/3≤2x-π/6≤5π/6

-√3/2≤sin(2x-π/6)≤ 1

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