The square of COS (2x + π / 3) + SiNx

=cos(π/3)cos2x-sin(π/3)sin2x+(1-cos2x)/2
=(1/2)cos2x-(√3/2)sin2x+1/2-(1/2)cos2x
=1/2-(√3/2)sin2x

RELATED INFORMATIONS

1. The range of function y = sin * absolute value x + SiNx
2. Given SiNx + siny = cosx + cosy = 1 / 2007, what is SiNx + cosx = then
3. It is known that the minimum positive period of the function f (x) = cos ^ 2wx + sinwx * coswx-1 / 2 (W > 0) is π
4. Find the minimum positive period and minimum value of the function y = sin4x + 23sinxcosx-cos4x, and write the monotone increasing interval of the function on [0, π]
5. Given the function f (x) = SiNx (SiNx + √ 3cosx), find the minimum positive period of F (x)
6. Given the function FX = ︱ SiNx ︱ cosx - sin2x-1 (1), find the maximum value of function FX (2) If the function FX has exactly 2014 zeros on (0. MX), find the value range of M
7. The maximum value of the function f (x) = cos ^ 2x + 4sinx + 3 is
8. Finding the maximum and minimum of Y by the function y = Cos2 (square) x-4sinx
9. In order to get the image of function y = cos (2x + π 3), we only need to change the image of function y = cos 2x to___ Parallel movement___ A unit
10. If f (Sin & nbsp; x) = 3-cos & nbsp; 2x, then f (COS & nbsp; x) = () A. 3-cos 2xB. 3-sin 2xC. 3+cos 2xD. 3+sin 2x
11. If | x | is less than or equal to π / 4, find the minimum value of function f (x) = sin square x + cosx
12. Known K
13. Find the maximum and minimum of the function y = sin (x + π / 6) + cosx, (0 ≤ x ≤ π)
14. The minimum value of function y = (SiN x) ^ 4 + (COS x) ^ 2, X ∈ [0,6 / π] is -——
15. If the distance between any point on the circle (x-1) ^ 2 + (Y-1) ^ 2 = R ^ 2 (r > 0) and the origin is 1, the value range of R can be obtained
16. If the origin is outside the circle x ^ 2 + y ^ 2 + 2x + 4y-a = 0, then the value range of a is 0
17. The equation of a circle whose center is at the origin and whose circumference is divided into 1:2 parts by a straight line 3x + 4Y + 15 = 0 is______ ．
18. As shown in the figure, the center of the small circle is at the origin, the radius is 3, the center coordinates of the big circle are (a, 0) and the radius is 5. If there are two circles, then the value range of a is______ ．
19. If the intersection of the line y = K (x-1) + 1 and the circle x ^ 2 + y ^ 2-4x-12 = 0 is in the third quadrant, then the value range of the real number k is? Yes?
20. The roots of imaginary numbers for solving equations -5x square + 8x-5