Final answer to the problem
Step-by-step Solution
Specify the solving method
Expand the expression $\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
Learn how to solve classify algebraic expressions problems step by step online.
$\frac{\sin\left(x\right)^{2}+2\sin\left(x\right)\cos\left(x\right)+\cos\left(x\right)^{2}}{1+2\sin\left(x\right)\cos\left(x\right)}$
Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression ((sin(x)+cos(x))^2)/(1+2sin(x)cos(x)). Expand the expression \left(\sin\left(x\right)+\cos\left(x\right)\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Simplify the fraction \frac{1+2\sin\left(x\right)\cos\left(x\right)}{1+2\sin\left(x\right)\cos\left(x\right)} by 1+2\sin\left(x\right)\cos\left(x\right).