Exercise
$\frac{sin\left(x\right)+sin\left(3x\right)}{2sin\left(2x\right)}=cos\left(x\right)$
Step-by-step Solution
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)+sin(3x))/(2sin(2x))=cos(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \sin\left(a\right)+\sin\left(b\right)=2\sin\left(\frac{a+b}{2}\right)\cos\left(\frac{a-b}{2}\right), where a=x and b=3x. Combining like terms x and 3x. Combining like terms x and -3x.
Prove the trigonometric identity (sin(x)+sin(3x))/(2sin(2x))=cos(x)
Final answer to the exercise
true