Let the image of the function y = 2Sin (2x + π 3) be centrosymmetric with respect to point P (x0, 0). If x0 ∈ [− π 2, 0], then x0 ∈=______ ．

Let the image of the function y = 2Sin (2x + π 3) be centrosymmetric with respect to point P (x0, 0). If x0 ∈ [− π 2, 0], then x0 ∈=______ ．

The image of function y = 2Sin (2x + π 3) is centrosymmetric with respect to point P (x0, 0), so 2x + π 3 = k π, K ∈ Z; so x = k π 2 − π 6 & nbsp; & nbsp; K ∈ Z, because x0 ∈ [− π 2, 0], so x0 = − π 6; so the answer is: − π 6

The intersection of function image y = x ^ 3 and y = (1 / 2) ^ X-2 is (x0, Y0), x0 interval

Let f (x) = = [(1 / 2) ^ X-2] - x ^ 3. Obviously, f (x) is monotone, instead of x = - 1, f (- 1) = 1 > 0
f(0)=-1

Tan (a + π / 4) = sin (a + π / 4) / cos (a + π / 4)
sin(a+π/4)=sinacosπ/4+cosasinπ/4=√2/2（sina+cosa）
cos(a+π/4)=cosacosπ/4+sinasinπ/4=√2/2（sina+cosa）
So tan (a + π / 4) = 1

Cos (α + β) = cos α cos β - sin α sin β, the middle one on the right side of the equation is a "-" sign

In a right triangle, a 90 degree angle and a 45 degree angle are known?
One right angle side is 53.5cm

Use: 53.5 × 1.414 = 75.649cm
Multiply the length of the right angle by 2 under the root sign, and the result is the length of the oblique side

There is a right triangle, the two right sides are 3 and 4, find the length of the hypotenuse

Hypotenuse = √ (3 & # 178; + 4 & # 178;) = ± 5 (minus sign rounded off)

If the lengths of the two right sides of a right triangle are 2 √ 3-1 and 2 √ 3-1 respectively, find the length of the hypotenuse C

Length of hypotenuse C = √ 26

The two sides of a right triangle are equal to the hypotenuse-------

Pythagorean theorem
a^2+b^2=c^2
(AB is two right angles and C is hypotenuse)
The sum of the squares of the two right sides of a right triangle is equal to the square of the hypotenuse

Under what circumstances is the length of the hypotenuse of a right triangle equal to the sum of the lengths of the two right angles?

In any case, it is impossible because the sum of any two sides of a triangle is greater than the third

The length ratio of the two right sides of a right triangle is 3:2, and the longer one is 6cm. Calculate the length of the other right side and draw the right triangle

The other right side of a right triangle is 6 △ 3 × 2 = 4 (CM), so the drawing is as follows

A piece of plywood is a right triangle. The length of the two right angles is 420 cm. The ratio of the length of the two right angles is 4:3. Draw on the drawing with a scale of 1:20,
What's the area of this plywood in the picture?

Actual right angle side a = 420 * 4 / (4 + 3) = 240cm
Actual right angle side B = 420 * 3 / (4 + 3) = 180cm
Draw on the map with a scale of 1:20
Right angle side A1 = 240 / 20 = 12cm
Right angle side B1 = 180 / 20 = 9cm
Area s = 12 * 9 / 2 = 54cm & # 178;