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Exercise

$\frac{1\:+\:6\:cos\left(y\right)}{6\:+\:sec\left(y\right)}$

Step-by-step Solution

1

Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$

$\frac{1+6\cos\left(y\right)}{6+\frac{1}{\cos\left(y\right)}}$

Final answer to the exercise

$\frac{1+6\cos\left(y\right)}{6+\frac{1}{\cos\left(y\right)}}$

Try other ways to solve this exercise

  • Choose an option
  • 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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$csc^2x-1$

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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