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Find the translation and expansion law of trigonometric function image
Firstly, y is transformed into a trigonometric function with the same name as y (that is, into a sine function): y = cos (x-π/3) = sin (π/2+(x-π/3)) = sin (x+π/6).

Think about translation again. If you want to convert sin(x+π/6) into sinx, you need to subtract π/6. According to the principle of "left plus right MINUS", π/6 units need to be translated to the right, so choose A. Or you can think in reverse-SINX to sin(x+π/6) need to be translated π/6 units to the left, then in turn,

Knowledge about translation transformation;

Key points: add left and subtract right; Increase upward and decrease downward.

Analysis: f (x)-> f(x+a)

Add Left shifts the unit to the left.

f(x)-& gt; f(x-a)

Subtract Right shifts a unit to the right.

f(x)-& gt; f(x)+a

"Add" translates one unit upwards.

f(x)-& gt; f(x)-a

Subtract Down translates one unit down.

Introduction:

You can also define six trigonometric functions according to the unit circle with the radius of 1 and the center of the circle as the origin. The definition of unit circle is of little value in practical calculation. In fact, for most angles, it depends on the right triangle.

But the definition of the unit circle does allow trigonometric functions to define all positive and negative angles, not just in? 0? And then what? The angle between π/2 radians. It also provides images containing all the important trigonometric functions. According to Pythagorean theorem, the equation of unit circle is: For any point on the circle (x, y), x? +y? = 1。