techdeckdude1237 techdeckdude1237
  • 22-12-2020
  • Mathematics
contestada

Given sinθ = 2/5 and cosθ < 0:
1. Find cscθ
2. Find cotθ

Respuesta :

LammettHash
LammettHash LammettHash
  • 22-12-2020

Recall that

sin²(θ) + cos²(θ) = 1

for all θ, and given that cos(θ) < 0, we find that

cos(θ) = -√(1 - sin²(θ)) = -√(1 - (2/5)²) = -√(21)/5

Now,

csc(θ) = 1/sin(θ) = 1/(2/5) = 5/2

and

cot(θ) = cos(θ)/sin(θ) = (-√(21)/5)/(2/5) = -√(21)/2

Answer Link

Otras preguntas

what is the square root of 500?
What is the name of the organelle that is responsible for digesting and recycling materials?
What steps did Napoleon take to create an empire in Europe?
What is a 11=17 in simplest form
How did the people of Great Zimbabwe positively interact with their environment?
Is cultural imperialism form of colonization?
Choose the word that best fills-in the blank. His time running this half marathon was _______ compared to his past performances. a. detrimental b. abysmal c. pe
A container has red blue and white marbles. Four times the number of white marbles exceeded 9 times the number of red marbles by 10. The ratio of blue marbles t
Why might Berlin be a likely spot for trouble to develop during the Cold War?
A student pulls a 60.-newton sled with a force having a magnitude of 20. newtons. What is the magnitude of the force that the sled exerts on the student? (1) 20