A formula for the area of a triangle bounded by a linear function and a coordinate axis, Well, it's very complicated. I can't understand it

A formula for the area of a triangle bounded by a linear function and a coordinate axis, Well, it's very complicated. I can't understand it

A linear function represents a straight line. A straight line and two coordinate axes intersect at a point respectively. The absolute value of the abscissa of the intersection with the x-axis and the absolute value of the ordinate of the intersection with the y-axis are multiplied by one-half
You make x equal to 0, find a Y, and then make y equal to 0, find an X, multiply the absolute value of these two values, and then multiply by half

How can the image of y = cosx + SiNx be moved from the image of y = cosx SiNx?

y1=cosx+sinx =√2sin(45+x)
y2=cosx-sinx =√2sin(45-x)
Y1 &; Y2: About Y-axis symmetry

The function y = SiNx cosx is changed into sine function, and the function y = SiNx cosx is changed into sine function?

y=sinx-cosx
=√2*(√2/2*sinx-√2/2*cosx)
=√2(sinxcosπ/4-cosxsinπ/4)
=√2sin(x-π/4) .