Learn how to solve problems step by step online. (sin(t)^2(sec(t)+cos(t)sec(t)))/(cos(t)tan(t))=1+tan(t). Applying the trigonometric identity: \cos\left(\theta \right)\sec\left(\theta \right) = 1. Applying the trigonometric identity: \tan\left(\theta \right)\cos\left(\theta \right) = \sin\left(\theta \right). Wenden Sie die Formel an: \frac{a^n}{a}=a^{\left(n-1\right)}, wobei a^n/a=\frac{\sin\left(t\right)^2\left(\sec\left(t\right)+1\right)}{\sin\left(t\right)}, a^n=\sin\left(t\right)^2, a=\sin\left(t\right) und n=2. Wenden Sie die Formel an: x\left(a+b\right)=xa+xb, wobei a=\sec\left(t\right), b=1, x=\sin\left(t\right) und a+b=\sec\left(t\right)+1.

(sin(t)^2(sec(t)+cos(t)sec(t)))/(cos(t)tan(t))=1+tan(t)