Nếu x là nghiệm của sin2x + cosx = 0, tính giá trị của sin^4x + cos^4x.

The solutions for sin(2x) + cos(x) = 0 between 0 and 2π are . To solve this equation, we will start by using the double angle identity for sine. ... cosx (green dashed line) and y = tanx. (blue dot-dashed line);. 90. 180 ... • a > 0, b > 0, c > 0. • a > 0, b > 0, c < 0. • a > 0, b < 0, c > 0. • a > 0, b ... Dec 13, 2020 ... Use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation in the interval [0, 27). Jul 18, 2014 ... Use sin2x+cos2x=1⟺sin2x−1=−cos2x. cosx=0⟹x=(2n+1)90∘. cosx=−1⟹x=(2m+1)180∘. where where m,n are integers. I leave for you to find suitable ... Since tan is negative and cos is positive, x is in the 4th quadrant. tan = y/x = -1/3, so y = -1 and x = 3 Therefore r = sqrt[1^2 + 3 Feb 8, 2016 ... sin 2x x. (d) f(x) = ( x2 + 2x if x < 4. 3 if x > 4. (e) f(x) = (. 2x + ... Suppose cosx < 0 and sinx = 4/5. cotx = 6. Suppose 1 + ln(x + 1) ... ,0); Concave down: (0,. 𝜋. 2. ) 7. 7. a. (0,−√7),(0,√7); b. dy. dx. = −2 ... ∫ln(cosx)tan(x)dx d. ∫. 1. √9−x2 dx e. ∫xcos(x)dx. 3 ... Detailed step by step solution for cos(5x)-sin(2x)-cos(x)=0. Oct 27, 2024 ... Explanation: To solve the equation sin4x+sin2x=cosx in the interval 0∘≤x≤360∘, we can use trigonometric identities and algebraic manipulation. Jun 13, 2018 ... Therefore, the solution to the equation sin(2x)−cos(x)=0 is Option (B) 90°. chevron down. Examples ...