Simplify y = (radical 3) sin2x + cos2x with auxiliary angle formula
y=√3sin2x+cos2x
=2[(√3/2)sin2x+(1/2)cos2x]
=2(sin2xcos30°+cos2xsin30°)
=2six(2x+30°)
RELATED INFORMATIONS
- 1. Sin2x (2cos2x-1) = cos2x (radical 3-2sin2x) x greater than or equal to 0 less than 2 π
- 2. Calculation of definite integral ∫ (x * sin2x) DX
- 3. Finding indefinite integral ∫ (sin2x - e ^ X / 3) DX
- 4. Calculation of definite integral ∫ (x ^ (1 / 2) * sin2x) DX Previous question hint:u=x/2 - 1/8 du/dx=sin^2 (2x)
- 5. 4. The solution set of trigonometric equation 2 (cosx) ^ 2-sinx * cosx = 1 / 2, X ∈ (- Π, 0) is ()? {(-3∏/4),(-arctan3)} Please write the detailed process and thinking
- 6. In the closed interval [0,2 π], find the solution set of the equation | 2 (cosx) ^ 2-1 | = SiNx
- 7. Equation problem: the equation sin2x · sin4x-sinx · sin3x = a of X has a unique solution in X ∈ [0, Π]. Find the value of real number a
- 8. The solution set of equation √ (sin2x) = √ (SiNx) is
- 9. How many solutions of the equation sin2x = SiNx in the interval (0,2)
- 10. The number of solutions of the equation sin2x = SiNx in the interval (0,2 π) is () A. 1B. 2C. 3D. 4
- 11. The definite integral of (1 / LNX) DX Wait online
- 12. ∫ (1 + LNX) / X DX ∫ LNX / X DX the upper limit is e and the lower limit is 0 1.∫(1+lnx)/x dx 2. The upper limit of LNX / X DX is e and the lower limit is 0
- 13. This paper discusses the anomalous integral ∫ DX / X (LNX) ^ k superscript +∞ subscript E
- 14. When k is a value, the anomalous integral ∫ (0, positive infinity) DX / [x (LNX) ^ k] converges? When k is a value, the anomalous integral diverges?
- 15. Anomalous integral 2 to positive infinity 1 / X (LNX) ^ k DX
- 16. Do the following generalized integrals converge ∫ e + ∞ 1 / X (LNX) ^ 2 DX ∫ upper limit positive infinity lower limit e x multiplied by (LNX) 1 / 2 DX
- 17. DX / (x ^ 2-4x + 3) (x from 0 to 2),
- 18. Integral problem ∫ [2 ~ 0] (4x ^ 3-x ^ 4) ^ (1 / 2) how to calculate DX
- 19. How to calculate generalized integral ∫ upper limit positive infinite lower limit negative infinite 1 / x ^ 2 + 4x + 5 DX?
- 20. The anomalous (generalized) integral Xe ^ (- x ^ 2) ranges from 0 to positive infinity