Final answer to the problem
Step-by-step Solution
Specify the solving method
Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
Learn how to solve differential calculus problems step by step online.
$\frac{1-\sin\left(x\right)^2}{1-\sin\left(x\right)}=1-\sin\left(x\right)$
Learn how to solve differential calculus problems step by step online. Prove that (cos(x)^2)/(1-sin(x))=1-sin(x) is not an identity. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. The difference of the squares of two terms, divided by the difference of the same terms, is equal to the sum of the terms. In other words: \frac{a^2-b^2}{a-b}=a+b.. There is no identity or mathematical rule that allows us to proceed trying to match both sides of the equality, so we conclude that it is not true.