chelseacharupickard
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

if cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta ​

Sagot :

sreedevi102

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.