firetiger2815
firetiger2815 firetiger2815
  • 21-04-2021
  • Mathematics
contestada

Solve the equation for solutions over the interval ​[0°​, 360°​). 7tanθ−7/3cotθ=0

Solve the equation for solutions over the interval 0 360 7tanθ73cotθ0 class=

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 21-04-2021

Answer:

Step-by-step explanation:

[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]

solution set is {30,150,210,330}

Answer Link

Otras preguntas

Cold War Revie... What was the main purpose of the formation of the North Atlantic Treaty Organization (NATO) after World War II? to promote cultural understand
How are males and females different when it comes to nonverbal communication?
Graph the point (0.5, -1). 5 4 3 2
Click to correct the four capitalization errors. My Aunt will celebrate her fortieth Birthday on saturday, so we're going to have a Picnic with her at Bruce Pen
What do you see as the advantages and disadvantages of using luminol?
Differentiate between legality, morality, social responsibility and ethics.
The speed of sound in air at 20°C is 344 m/s. What is the wavelength of a sound wave with a frequency of 784 Hz, corresponding to the note G5 on a piano? How ma
Ergänze die Sätze mit den bestimmten Artikeln und schreib sie im Heft auf. Ilse und Katja gehen in 21 Tennisclub. Bastian und Oskar gehen in Skatepark. Geht Lis
PLEASE HELP!!! please add the steps too please
pleaseeeeeee help meeeeeeeeee