Final answer to the problem
$\cos\left(x\right)=\sqrt{\frac{3}{2}},\:\cos\left(x\right)=-\sqrt{\frac{3}{2}}\:,\:\:n\in\Z$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 2sin(x)+csc(x)=0. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Combine all terms into a single fraction with \sin\left(x\right) as common denominator. Multiply both sides of the equation by \sin\left(x\right). Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2.
Final answer to the problem
$\cos\left(x\right)=\sqrt{\frac{3}{2}},\:\cos\left(x\right)=-\sqrt{\frac{3}{2}}\:,\:\:n\in\Z$
