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truewt
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Okay guys, this equation is bothering me and I have no idea how to start:
[tex] 4cosec(X) - 3sec(X) = 4cos(2X)[/tex]
[tex] 4cosec(X) - 3sec(X) = 4cos(2X)[/tex]
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truewt said:what I will end up with is [tex] 4cos(X) - 3sin(X) = sin(4X) [/tex]
truewt said:Okay guys, this equation is bothering me and I have no idea how to start:
[tex] 4cosec(X) - 3sec(X) = 4cos(2X)[/tex]
DecayProduct said:Being fairly new to trig, I'd like to ask a question based on this question. I'm a hands-on kind of guy, so I take something and just jam a number where x is to see what happens. Let's say we stick 30 (degrees) into it. The left side becomes:
4csc30 - 3sec30 or 4(2) - 3(1.15) = 4.55
The right side becomes:
4cos2(30) = 4(1-2sin^2(30)) = 2
Put them together and you get 4.55 = 2, which is never true. Additionally, I've gone through the trouble of defining everything in terms of sin x, and the two sides of the equation cannot equal. What are we looking for here?
NoMoreExams said:Why did you pick 30 degrees? This isn't an identity that is asked to be shown but rather a "solve for x" type situation I believe.
The formula for solving a trigonometry equation is to isolate the variable by using inverse trigonometric functions and applying trigonometric identities.
To solve a trigonometry equation with multiple trigonometric functions, use the Pythagorean identities and other trigonometric identities to simplify the equation and then isolate the variable.
Cosecant (csc) and secant (sec) are reciprocal trigonometric functions. Cosecant is the reciprocal of sine, while secant is the reciprocal of cosine. This means that csc(x) = 1/sin(x) and sec(x) = 1/cos(x).
The double angle formula states that cos(2x) = cos^2(x) - sin^2(x). To use this formula to solve a trigonometry equation, substitute the expression for cos(2x) and use the Pythagorean identity to simplify the equation.
Yes, you can use a calculator to solve a trigonometry equation. However, it is important to understand the steps and concepts behind solving the equation by hand in order to use the calculator effectively and check for any errors in the calculation.