Final answer to the problem
$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$
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Step-by-step Solution
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- Express in terms of sine and cosine
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1
Move everything to the left hand side of the equation
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$2\sin\left(x\right)^2+\sin\left(x\right)-1=0$
Learn how to solve problems step by step online. Solve the trigonometric equation 2sin(x)^2+sin(x)=1. Move everything to the left hand side of the equation. We can try to factor the expression 2\sin\left(x\right)^2+\sin\left(x\right)-1 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial 2u^2+1u-1 of the form ax^2+bx+c, first, make the product of 2 and -1.
Final answer to the problem
$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$
