Exercise
$\frac{tanx\cdot\:\:sec^2x\cdot\:\:cos^3x}{senx}$
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Simplify the trigonometric expression (tan(x)sec(x)^2cos(x)^3)/sin(x). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. When multiplying exponents with same base you can add the exponents: \sec\left(x\right)\sec\left(x\right)^2\cos\left(x\right)^3. Add the values 2 and 1. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.
Simplify the trigonometric expression (tan(x)sec(x)^2cos(x)^3)/sin(x)
Final answer to the exercise
$1$