Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
[tex]\cos (\theta)=\frac{4}{5}[/tex]
1) In this question, we can notice that theta is in Quadrant IV. In this quadrant, the cosine of theta yields a positive value.
2) So, let's make use of a Pythagorean Identity to find the value of the cosine of theta, given the sine of that same angle:
[tex]\begin{gathered} \sin ^2(\theta)+\cos ^2(\theta)=1 \\ (-\frac{3}{5})^2+\cos ^2(\theta)=1 \\ \frac{9}{25}+\cos ^2(\theta)=1 \\ \cos ^2(\theta)=1-\frac{9}{25} \\ \cos ^2(\theta)=\frac{25}{25}-\frac{9}{25} \\ \cos ^2(\theta)=\frac{16}{25} \\ \sqrt[]{\cos ^2(\theta)}=\sqrt[]{\frac{16}{25}} \\ \cos (\theta)=\frac{4}{5} \end{gathered}[/tex]3) Thus the cosine of theta is 4/5 for in Quadrant IV cosine is positive.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.