candycane6019
candycane6019 candycane6019
  • 02-12-2020
  • Mathematics
contestada

At angle θ lies in Quadrant III. If cosθ=-0.487, what is tanθ rounded to the nearest thousandth??

Respuesta :

gardnerdanj gardnerdanj
  • 07-12-2020

Answer:

TanФ=-1.793

Step-by-step explanation:

[tex]Sin^{2} (A) + Cos^{2} (A) = 1[/tex]

[tex]Sin(A)=\sqrt{1-Cos^{2} (A)}[/tex]

[tex]Tan(A) = \frac{Sin(A)}{Cos(A)}[/tex]

[tex]Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202[/tex]

Answer Link

Otras preguntas

spring break on the coast 2016
how to find the period of a wave
What allows consumers to receive goods and services in a non-price rationing system?
arrhenius base definition
long term effects of alcohol
in which of the following scenarios will you be entitled to pay the least amount of money out-of-pocket for a medical expense?
how to find the area of a circle
differences between catholic and christian
47 minus 3 times the difference of 15 and 2
what organic molecule functions to speed up chemical reaction