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Exercise

$\frac{1}{2}\sin\left(2x\right)=\sin\left(x\right)\cos\left(x\right)$

Step-by-step Solution

1

Starting from the right-hand side (RHS) of the identity

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

Simplify $\sin\left(x\right)\cos\left(x\right)$ using the trigonometric identity: $\sin(2x)=2\sin(x)\cos(x)$

$\frac{\sin\left(2x\right)}{2}$
3

Simplify the fraction

$\frac{1}{2}\sin\left(2x\right)$
4

Since we have reached the expression of our goal, we have proven the identity

true

Final answer to the exercise

true

Try other ways to solve this exercise

  • Prove from RHS (right-hand side)
  • Prove from LHS (left-hand side)
  • Express everything into Sine and Cosine
  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equations
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Load more...
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