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Exercise

$\sin\left(4x+3y\right)$

Step-by-step Solution

1

Using the sine of a sum formula: $\sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta)$, where angle $\alpha$ equals $4x$, and angle $\beta$ equals $3y$

$\sin\left(4x\right)\cos\left(3y\right)+\cos\left(4x\right)\sin\left(3y\right)$

Final answer to the exercise

$\sin\left(4x\right)\cos\left(3y\right)+\cos\left(4x\right)\sin\left(3y\right)$

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
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