Exercise
$\sec\left(x\right)^2+\sin\left(x\right)^2=2\sin\left(x\right)^2$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation sec(x)^2+sin(x)^2=2sin(x)^2. Grouping all terms to the left side of the equation. Combining like terms \sin\left(x\right)^2 and -2\sin\left(x\right)^2. Factor the difference of squares \sec\left(x\right)^2-\sin\left(x\right)^2 as the product of two conjugated binomials. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations.
Solve the trigonometric equation sec(x)^2+sin(x)^2=2sin(x)^2
Final answer to the exercise
$x=0,\:x=0\:,\:\:n\in\Z$