Melodysprecherpelcttidn
Answered

IDNLearn.com: Your one-stop destination for finding reliable answers. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

Problem Solving
Find the exact solution of each equation for 0 < theta < 2 pi

Problem Solving Find The Exact Solution Of Each Equation For 0 Lt Theta Lt 2 Pi class=

Sagot :

Answer:

C) [tex]\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}[/tex]

Step-by-step explanation:

[tex]sin^2\theta=\frac{1}{2},\: 0\leq\theta\leq2\pi\\ \\\frac{1-cos(2\theta)}{2}=\frac{1}{2}\\ \\1-cos(2\theta)=1\\\\cos(2\theta)=0\\\\2\theta=\frac{\pi}{2}+\pi n\\ \\\theta=\frac{\pi}{4}+\frac{\pi}{2}n\\ \\ \theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}[/tex]

Recall the identity [tex]sin^2\theta=\frac{1-cos(2\theta)}{2}[/tex]

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.