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

Where is Moisturizing Black soap shampoo is currently positioned in the product life cycle.
How are the parts of dna like a book?
Now combine the sentences by completing the relative clause. Ms. Martin, whom , is a textile designer who grows her own cotton and dyes her own fab
What are the functions of the respiratory system?
Which of the fallowing is the best paraphrase of lines 5 and 6?
What is the equivalent fraction for 3,2,6,4 whole number?
Identify the paradox in the first stanza. And pls explain the meaning of first stanza.
why did a soilder in the continental army might consider deserting
Can someone solve this
Nico is saving money for his college education. He invests some money at 8% and $1400 less then the amount at 7%. The investments produced a total of $217 inter