tpadilla1215 tpadilla1215
  • 17-05-2022
  • Mathematics
contestada

Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).
A. -(2√2)/3
B.4/3
C.2√2/3

Respuesta :

Аноним Аноним
  • 17-05-2022

Answer:

Step-by-step explanation:

[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]

Answer Link

Otras preguntas

What does Brian compare the insects to? In the book Hatchet...
why the element with a valence of 8 is mostly likely form ionic bonds, covalent bonds or no chemical bonds with other atoms
Which of the following best defines "medium of exchange"? A. something with a fixed value that we use for exchange B. a way to determine what is the best deal
What medical advances happened during the Abbasid Caliphate ?
7279.21 the 2 in the hundreds place is __ the value of the 2 in the tenths place
What is 0.11 as a fraction in simplest form
Find the factor pairs of 46 and 76
What is a type of fluid friction that opposes the motion of objects as they move through air?
what is a word that can be used in all parts of speech written twice except interjection
Those who opposed the provisions of the Sherman Antitrust Act believed that success in business depended on