Exercise
$\cos a=\sin a$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation cos(a)=sin(a). Divide both sides of the equation by \cos. Simplify the fraction \frac{\cos\left(a\right)}{\cos\left(a\right)} by \cos\left(a\right). Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right), where x=a. Rearrange the equation.
Solve the trigonometric equation cos(a)=sin(a)
Final answer to the exercise
$a=\frac{1}{4}\pi+\pi n,\:a=\frac{5}{4}\pi+\pi n\:,\:\:n\in\Z$