One obvious possibility is [itex]sin(\theta)= 0[/itex]. What values of [itex]\theta[/itex] give that?patriots1049 said:Homework Statement
sin 2θ = sin θ Find the solutions in degrees.
Homework Equations
sin 2θ = 2sinθcosθ
The Attempt at a Solution
sin 2θ = sin θ
2sinθcosθ = sin θ
So cancel the [itex]sin(\theta)[/itex]s, giving [itex]cos(\theta)= 1[/math]. What values of [itex]\theta[/itex] give that?sinθ *cosθ/sin θ = 1
That's as far as I can get, and I think that is wrong. How do I procede from 2sinθcosθ = sin θ?
Trigonometric Equations are mathematical equations that involve trigonometric functions, such as sine, cosine, and tangent. These equations are used to solve for unknown angles or sides in a triangle.
The most common trigonometric functions used in these equations are sine, cosine, and tangent. Other less commonly used functions include cosecant, secant, and cotangent.
Trigonometric equations are solved by using algebraic techniques and trigonometric identities to manipulate the equation and isolate the variable of interest. This typically involves simplifying the equation, using inverse trigonometric functions, and solving for the unknown value.
Trigonometric equations are used in a variety of fields, such as engineering, navigation, and physics. They can be used to calculate distances, angles, and heights in real-world scenarios, such as determining the height of a building or the distance between two points.
One common mistake to avoid when solving trigonometric equations is forgetting to convert angles from degrees to radians or vice versa. It is also important to be aware of the domain and range of trigonometric functions, as some values may not be valid solutions to the equation.