Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Solve for y
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
- Find dy/dx
- Derivative
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
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Apply the trigonometric identity: $\sin\left(a+b\right)\cos\left(a-b\right)$$=\sin\left(a\right)\cos\left(a\right)+\sin\left(b\right)\cos\left(b\right)$, where $a=x$ and $b=y$
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$\sin\left(2x\right)+\sin\left(2y\right)=\sin\left(x\right)\cos\left(x\right)+\sin\left(y\right)\cos\left(y\right)$
Learn how to solve equations problems step by step online. Solve the equation sin(2x)+sin(2y)=sin(x+y)cos(x-y). Apply the trigonometric identity: \sin\left(a+b\right)\cos\left(a-b\right)=\sin\left(a\right)\cos\left(a\right)+\sin\left(b\right)\cos\left(b\right), where a=x and b=y. Simplify \sin\left(x\right)\cos\left(x\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). We need to isolate the dependent variable y, we can do that by simultaneously subtracting \sin\left(2x\right) from both sides of the equation. Combining like terms \frac{\sin\left(2x\right)}{2} and -\sin\left(2x\right).
