Step by step video & image solution for Statement -1 the solution of the equation (sin x)/(cos x + cos 2x)=0 is x=n pi, n in I Statement -2 : The solution of the equation sin x = sin alpha , alpha in [(-pi)/(2),(pi)/(2)] x={npi+(-1)^(n)alpha,n in I} by ...
Solve the differential equation: cos ( x ) y + sin ( x ) y = 1 Solve the following differential equation: (\tan {(x)} - 5 \sin {(x)} \sin {(y)} )dx + 5 \cos {(x)} \cos {(y)}dy = 0. Solve the following differential equation. y' + y^2 \sin x = 0 ...
Solve the equation: 3 sin x + 1 = sin x Solve the equation. sin x (sin x + 1) = 0 Solve the equation: (sin x)2 - 1 = 1,5 sin x. Solve the following equation: sin 2x + 2 sin x = cos x + 1. Solve the equation. sin x (2 sin x + sqrt{2}) = ...
Answer to: Simplify cos(x) + sin(x)tan(x). By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also...
To solve the equation 2cos2(x2)sin2x=x2+1x2 for 0≤x≤π2, we will analyze both sides of the equation step by step. Step 1: Analyze the Left-Hand Side (LHS)The left-hand side of the equation is:LHS=2cos2(x2)sin2xUsing the half-angle identity, we can express cos2(x2) ...
Solving the Equation α sin θ + b cos θ = cThe following sections are included:The auxiliary angle methodTheoremProblems / exercises#The auxiliary angle method#Theorem#Problems / exercisesdoi:10.1142/9789813203129_0017R. Delbourgo
解 sina=cos2a即 sina=1-2（sina）^2，令t=sina，则t∈[-1,1]t=1-2t^2，即 2t^2+t-1=0 （2t-1）（t+1）=0 解得t=1/2或t=-1，满足t∈[-1,1]综上sina=1/2或sina=-1，即 a=π/6或a=-π/2 （一个周期内 多个周期还有其他解）
cos x cos2x-2sin xsin 2xEquate derivative to zero and use double angle formulaeRemove factor of cos x and reduce equation to one in a single trig functionObtain 6sin² x = 1, 6cos² x = 5 or 5tan²x = 1Solve and obtain x=0.421[Alternative : Use double angle formula M1....
2.1.1453 Part 1 Section 21.2.2.43, dispEq (Display Equation) 2.1.1454 Part 1 Section 21.2.2.44, dispRSqr (Display R Squared Value) 2.1.1455 Part 1 Section 21.2.2.47, dLbl (Data Label) 2.1.1456 Part 1 Section 21.2.2.48, dLblPos (Data Label Position) 2.1.1457 Part 1 Secti...
Which is known as the separable differential equation. It can be solved by integrating both side {eq}\displaystyle \int {f(x)dx = \int {f(y)dy} } {/eq} Required Formulas: 1. {eq}\displaystyle \int {\sin xdx} = - \cos x + c {/eq} ...