Exercise
$-\sin x=\cos x$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation -sin(x)=cos(x). Multiply both sides of the equation by -1. Grouping all terms to the left side of the equation. Multiply -1 times -1. Apply the addition formula: \sin\left(x+\frac{\pi}{4}\right)=\frac{\sin\left(x\right)}{\sqrt{2}}+\frac{\cos\left(x\right)}{\sqrt{2}}.
Solve the trigonometric equation -sin(x)=cos(x)
Final answer to the exercise
$x=2\pi n+\frac{-1}{4}\pi,\:x=\frac{-1}{4}\pi\:,\:\:n\in\Z$