At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
[tex]x=\frac{\pi}{2}+\pi n, \frac{\pi}{6}+2\pi n, \frac{5\pi}{6}+2\pi n[/tex]
Step-by-step explanation:
[tex]9sin(2x)=9cos(x)[/tex] <-- Starting Equation
[tex]9sin(2x)-9cos(x)=0[/tex] <-- Move all terms to the left and set equal to 0
[tex]9(sin(2x)-cos(x))=0[/tex] <--Simplify
[tex]9(2sin(x)cos(x)-cos(x))=0[/tex] <-- Trig Identity (sin2x=2sinxcosx)
[tex]9(cos(x)(2sin(x)-1)=0[/tex] <-- Simplify
[tex]9cos(x)(2sin(x)-1)=0[/tex] <-- Simplify
Use Zero Product Property:
[tex]9cos(x)=0[/tex] and [tex]2sin(x)-1=0[/tex]
Use the unit circle to find your solutions:
[tex]x=\frac{\pi}{2}+\pi n, \frac{\pi}{6}+2\pi n, \frac{5\pi}{6}+2\pi n[/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
