Final answer to the problem
$x=0+2\pi n,\:x=\pi+2\pi n\:,\:\:n\in\Z$
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Step-by-step Solution
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- Express in terms of sine and cosine
- Simplify
- Simplify into a single function
- Express in terms of Sine
- Express in terms of Cosine
- Express in terms of Tangent
- Express in terms of Cotangent
- Express in terms of Secant
- Express in terms of Cosecant
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1
Apply fraction cross-multiplication
$3\sin\left(x\right)\left(1+\sin\left(x\right)\right)=3\left(1-\sin\left(x\right)\right)\sin\left(x\right)$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (3sin(x))/(1-sin(x))=(3sin(x))/(1+sin(x)). Apply fraction cross-multiplication. Cancel 3 from both sides of the equation. Multiplying polynomials \sin\left(x\right) and 1+\sin\left(x\right). Multiplying polynomials \sin\left(x\right) and 1-\sin\left(x\right).
Final answer to the problem
$x=0+2\pi n,\:x=\pi+2\pi n\:,\:\:n\in\Z$
