Exercise
$\sin^2\left(x\right)=\frac{\tan^2\left(x\right)}{\cos^2\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation sin(x)^2=(tan(x)^2)/(cos(x)^2). Rewrite \frac{\tan\left(x\right)^2}{\cos\left(x\right)^2} in terms of sine and cosine. Multiply both sides of the equation by \cos\left(x\right)^{4}. Grouping all terms to the left side of the equation. Factor the polynomial \sin\left(x\right)^2-\sin\left(x\right)^2\cos\left(x\right)^{4} by it's greatest common factor (GCF): \sin\left(x\right)^2.
Solve the trigonometric equation sin(x)^2=(tan(x)^2)/(cos(x)^2)
Final answer to the exercise
$x=0+2\pi n,\:x=\pi+2\pi n,\:x=0+2\pi n,\:x=2\pi+2\pi n\:,\:\:n\in\Z$