Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Determine the general solution for sin(x-30°)=cos2x

Sagot :

Solution

- The solution steps are given below:

[tex]\begin{gathered} \sin(x-30)=\cos2x \\ \text{ The following trigonometric identities are used to proceed:} \\ \cos2x=\sin(90-2x) \\ \\ \sin(x-30)=\sin(90-2x) \\ \text{ We can proceed to equate the angles} \\ x-30=90-2x \\ \text{ Collect like terms} \\ 2x+x=90-30 \\ 3x=60 \\ \text{ Divide both sides by 3} \\ x=60 \end{gathered}[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.