hafsa514
hafsa514 hafsa514
  • 29-05-2020
  • Mathematics
contestada

If cot x = -4/3 find csc x, if 270°<x<360"​

Respuesta :

jimrgrant1 jimrgrant1
  • 29-05-2020

Answer:

csc x = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Using the trigonometric identity

csc²x = 1 + cot²x

         = 1 + (- [tex]\frac{4}{3}[/tex] )² = 1 + [tex]\frac{16}{9}[/tex] = [tex]\frac{25}{9}[/tex], thus

csc x = ± [tex]\sqrt{\frac{25}{9} }[/tex] = ± [tex]\frac{5}{3}[/tex]

Since 270° < x < 360° where csc x < 0 , then

csc x = - [tex]\frac{5}{3}[/tex]

Answer Link

Otras preguntas

How to find the limit of a function.
CAN SOMEONE HELP ME PLEASE ASAP!
Discuss the differences between the two citations systems. MLA AND APA please write a paragraph in your own words, please dont waste my time like for real
If point S ( 3, 4 ) is reflected across the line y=1, what are the coordinates of its reflections image?
Can anyone help I don’t understand
comment victor hugo rens il grandiose la bataille de waterloo
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
What is a common denominator for 1 3/4 and 1 4/5
What Does this Mean "We tell People to follow their dreams, but you can only dream of what you can imagine , and depending on where you come from, your imaginat
help me due today it is math