Learn how to solve problems step by step online. 1/((1-sin(t)^2)^(3/2)). Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2. Simplify \sqrt{\left(\cos\left(t\right)^2\right)^{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{3}{2}. Wenden Sie die Formel an: \frac{a}{b}c=\frac{ca}{b}, wobei a=3, b=2, c=2, a/b=\frac{3}{2} und ca/b=2\cdot \left(\frac{3}{2}\right). Wenden Sie die Formel an: ab=ab, wobei ab=2\cdot 3, a=2 und b=3.

1/((1-sin(t)^2)^(3/2))