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Exercise

$\tan t-\frac{\sec^{2}t}{\tan t}$

Step-by-step Solution

1

Simplify $\frac{-\sec\left(t\right)^2}{\tan\left(t\right)}$ by applying trigonometric identities

$\tan\left(t\right)-\sec\left(t\right)\csc\left(t\right)$

Final answer to the exercise

$\tan\left(t\right)-\sec\left(t\right)\csc\left(t\right)$

Try other ways to solve this exercise

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  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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