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 organelle contains enzymes used to digest cellular materials and waste products?
Which word best describes the role of a historian?
. Madame Sofronie’s character is most developed through A. direct characterization, using her words and feelings. B. indirect characterization, using her though
Darren is purchasing a home for $973000. He makes 25% down payment and obtains a 20 year fixed rate mortgage loan at 8% annual interest. His monthly payments ar
What are the binomial factors of the polynomial x^3-2x^2+4x-8 a. (x-2),(x+2),(x+1) b. (x+2),(x-2),(x+2) c. (x-2) d. (x-2),(x-2),(x+2)
Which statement describes a similarity between “That I did always love” and "'Why do I love' You, Sir?"? (A)Both poems address the subject of undying passion. (
How do you solve this problem
Is 1.178 a terminating or repeating decimal
Calculate the mass percent of copper in cus, copper(ii) sulfide. if you wish to obtain 10.0g of copper metal from copper(ii) sulfide, what mass of cus (in grams
how many hours are there in 3/4 of a day?