Exercise
$26\sin\left(x\right).\cos\left(x\right)-6\sin\left(x\right)=7$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 26sin(x)cos(x)-6sin(x)=7. Simplify 26\sin\left(x\right)\cos\left(x\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Take \frac{26}{2} out of the fraction. Move everything to the left hand side of the equation. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right).
Solve the trigonometric equation 26sin(x)cos(x)-6sin(x)=7
Final answer to the exercise
$x=0+2\pi n,\:x=\pi+2\pi n,\:x=0,\:x=0\:,\:\:n\in\Z$