Answered

Find expert answers and community insights on IDNLearn.com. Find the solutions you need quickly and accurately with help from our knowledgeable community.

.Find all solutions to the equation.

7 sin2x - 14 sin x + 2 = -5

Sagot :

[tex]7sin^2x-14sinx+2=-5\\\\7sin^2x-14sinx+2+5=0\\\\7sin^2x-14sinx+7=0\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\sin^2x-2sinx+1=0\\\\(sinx-1)^2=0\iff sinx-1=0\\\\sinx=1\Rightarrow x=\frac{\pi}{2}+2k\pi=\frac{4k+1}{2}\pi\ (k\in\mathbb{Z})[/tex]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.