Solving Trig Equations: Tips, Tricks, and Strategies for All Values of x (0-360)

Thread starter Hootenanny
Start date Mar 7, 2006
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Trig

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To solve the equation 2cot²x + 7cosec x - 13 = 0 for x between 0 and 360 degrees, it's essential to utilize trigonometric identities. A suggested approach is to multiply by sin²x and apply the identity cot²x + 1 = csc²x to simplify the equation. This method can help in transforming the equation into a more manageable form. After applying these strategies, the original poster successfully solved the equation. Understanding and using trigonometric identities is crucial for solving such equations effectively.

Mar 7, 2006

Hootenanny

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The question is to solve the equation;
2\cot^{2}x + 7cosec x - 13 = 0
for all values of x between 0 and 360. I know I need to use a trig ident, but I've been using several over the course of an hour and I can't seem to get anywhere. Any hints would be helpful

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Mar 7, 2006

vaishakh

Multiply with sin^2x

Mar 7, 2006

Lyuokdea

try using cot(x)^2 + 1 = csc(x)^2

~Lyuokdea

Mar 7, 2006

Hootenanny

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Thank's got it.

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