## What is the general solution of Sinx

Hence, the general solution for sin x = 0 will be, **x = nπ**, where n∈I. Similarly, general solution for cos x = 0 will be x = (2n+1)π/2, n∈I, as cos x has a value equal to 0 at π/2, 3π/2, 5π/2, -7π/2, -11π/2 etc.

## What is a general solution

Definition of general solution

1 : **a solution of an ordinary differential equation of order n that involves exactly n essential arbitrary constants**. — called also complete solution, general integral. 2 : a solution of a partial differential equation that involves arbitrary functions.

## What is the general solution of Sinx =- 1 2

Trig table gives sinx=12=sin(**π6**)−→x1=π6 . Trig circle gives another arc x2=5π6 that has the same sin value (12) .Apr 14, 2015

## For what value of theta sin theta equals 2

**There is no value for** . This is function, not equation.

## How is sin theta 1

Hence, the general solution of sin θ = 1 is **θ = (4n + 1)π2**, n ∈ Z. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = – 32, Which is impossible since the numerical value of sin x cannot be greater than 1.

## What is the value of sin theta 1

The value of sin 1 is **0.8414709848**, in radian. In trigonometry, the complete trigonometric functions and formulas are based on three primary ratios, i.e., sine, cosine, and tangent in trigonometry.

## How do you find the general value of sin

Let – π2 ≤ α ≤ π2, where α is positive or negative smallest numerical value and satisfies the equation sin θ = x then the angle α is called the principal value of sin−1 x. Therefore, the general value of sin−1 x is **nπ + (- 1)n θ**, where n = 0, ± 1, ± 2, ± 3, …….

## How do you find the general solution

**follow these steps to determine the general solution y(t) using an integrating factor:**

- Calculate the integrating factor I(t). I ( t ) .
- Multiply the standard form equation by I(t). I ( t ) .
- Simplify the left-hand side to. ddt[I(t)y]. d d t [ I ( t ) y ] .
- Integrate both sides of the equation.
- Solve for y(t). y ( t ) .

## What is general solution with example

The general solution geometrically represents an n-parameter family of curves. For example, the general solution of the differential equation \frac{dy}{dx} = 3x^2, which turns out to be **y = x^3 + c** where c is an arbitrary constant, denotes a one-parameter family of curves as shown in the figure below.

## How do you find the general solution

**follow these steps to determine the general solution y(t) using an integrating factor:**

- Calculate the integrating factor I(t). I ( t ) .
- Multiply the standard form equation by I(t). I ( t ) .
- Simplify the left-hand side to. ddt[I(t)y]. d d t [ I ( t ) y ] .
- Integrate both sides of the equation.
- Solve for y(t). y ( t ) .