Exercise
$\sin\left(80\right)\cos\left(40\right)+\cos\left(80\right)\sin\left(40\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the trigonometric expression sin(80)cos(40)+cos(80)sin(40). Apply the trigonometric identity: \sin\left(x\right)\cos\left(y\right)=\frac{\sin\left(x+y\right)+\sin\left(x-y\right)}{2}, where x=40 and y=80. . Add the values 80 and 40. Add the values 80 and -40.
Simplify the trigonometric expression sin(80)cos(40)+cos(80)sin(40)
Final answer to the exercise
$\frac{2\sin\left(120\right)+\sin\left(40\right)+\sin\left(-40\right)}{2}$