- #1
StrawHat
- 33
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Homework Statement
244.10746 = 845.9064sin(θ) - 274.87cos(θ)
Homework Equations
Is there? I have no clue.
The Attempt at a Solution
I plugged it into WolframAlpha and I got an incomprehensible answer.
Villyer said:Have you attempted to use the property [itex]1 = sin^{2}(\theta) + cos^{2}(\theta)[/itex] to get an equation in terms of only sin or cos?
StrawHat said:Homework Statement
244.10746 = 845.9064sin(θ) - 274.87cos(θ)
Homework Equations
Is there? I have no clue.
The Attempt at a Solution
I plugged it into WolframAlpha and I got an incomprehensible answer.
Muphrid said:Of course you can. Let [itex]x = \cos \theta[/itex]. Then [itex]\sin \theta = \sqrt{1-x^2}[/itex]. All it takes is a little more algebra to massage this into a polynomial equation in [itex]x[/itex] that you can then convert back into [itex]\theta[/itex].
Muphrid said:I suspect you did some algebra wrongly; I get a value for x that is between -1 and 1 as required. Why don't you type out a couple steps of algebra?
A trigonometric function, also known as a trig function, is a mathematical function that relates the sides and angles of a triangle. It is commonly used in geometry, physics, and engineering.
Not all mathematical problems require the use of trig functions. If a problem does not involve triangles or circular functions, then a trig function may not be applicable.
You can use a trig function when a problem involves triangles, circular motion, or periodic phenomena. Look for keywords such as "angle," "side," "oscillate," or "cycle" in the problem to determine if a trig function is needed.
The most commonly used trig functions are sine, cosine, and tangent. Other trig functions include cosecant, secant, and cotangent. Each function is defined in terms of the ratios of sides of a right triangle.
One helpful tip is to draw a diagram of the problem and label the sides and angles of the triangle. This can help you visualize the problem and determine which trig function to use. Additionally, make sure to use the appropriate units (degrees or radians) when using trig functions.