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Exercise

$sin\left(\theta\right)\sec3\left(\theta\right)$

Step-by-step Solution

1

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

$\sin\left(\theta\right)\frac{1}{\cos\left(3\theta\right)}$
2

Multiply the fraction by the term

$\frac{1\sin\left(\theta\right)}{\cos\left(3\theta\right)}$
3

Any expression multiplied by $1$ is equal to itself

$\frac{\sin\left(\theta\right)}{\cos\left(3\theta\right)}$

Final answer to the exercise

$\frac{\sin\left(\theta\right)}{\cos\left(3\theta\right)}$

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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Similar Questions Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

$1+cot^2x$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

$\frac{2+tan^2x}{sec^2x}-1$

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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