Giải phương trình sinx + cosx = -sqrt(2).

d) 6 cosx + 5 sin x e) −5 cosx + 12 sinx f) 4 cosx − sin x g) −2 cosx − 3 sin x h) −cosx + 3 sin x i) cosx + sin x j) cosx − sin x k) sin x − cosx l) −(cos x + ... Given that y = c1ex cosx + c2ex sinx is the general solution of a second- order differential equation with the following boundary-value conditions: y(0) = a ... May 12, 2012 ... e(2−i)x (cosx + 2 sinx + i sinx) so that the particular solution becomes up(x) = e−ix"Z 1. 8 e2xeix. (cosx + 2 sinx + i sinx) dx. #. = 1. 8 e2x. Jul 1, 2020 ... Maharashtra CET 2016: If Rolle's theorem for f(x)= ex (sinx - cosx) is verified on [π/4, 5 π/4], then the value of c is (A) π/3 (B) π/2 (C) ... Mar 11, 2018 ... sin(x) + cos(x) ... Here is a fun little exploration involving a simple sum of trigonometric functions. Consider f(x) = sin(x) + cos(x), graphed ... Start with the definition of the logarithm function: Hence, Let Substitute back, recalling that the sine function is positive in the first quadrant. Dec 16, 2021 ... e3x sinx dx. A. e3x(sinx + 3 cosx). 8. + C. B. e3x(sinx + cosx). 10. + C. C. e3x(3 sinx - cosx). 10. + C. D. e3x(sinx + 3 cosx). 10. + C. E. e3x ... Aug 5, 2023 ... The derivative of any function f(x) can be found from first principles as the difference between two values of f(x) infinitely close to each ... Sep 20, 2019 ... Divide by cosx on both side assuming cos x isnt zero ofc sinx/cosx =1 which is equivalent to tanx = 1 thus you have your answer pi/4. Jan 14, 2017 ... Proof by contradiction: sin(x)−cos(x)≥1 · Perhaps simpler is to consider that cos(x+π4)=1√2(cosx−sinx) and manipulate this expression a bit. – ...