Exercise
$\tan\left(x\right)\sec\left(x\right)=\tan\left(x\right)^2$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation tan(x)sec(x)=tan(x)^2. Grouping all terms to the left side of the equation. Factor the polynomial \tan\left(x\right)\sec\left(x\right)-\tan\left(x\right)^2 by it's greatest common factor (GCF): \tan\left(x\right). Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1).
Solve the trigonometric equation tan(x)sec(x)=tan(x)^2
Final answer to the exercise
$x=0+\pi n,\:x=\pi+\pi n,\:x=0\:,\:\:n\in\Z$