An acute angle, θ, is in a right triangle such that cos θ = 12/13. What is the Value of csc θ? (100 Points!)

13/12
13/5
5/13
5/12

Respuesta :

Answer:

csc θ = 13/12

Step-by-step explanation:

cos θ = 12/13

Formula: cos θ = 1/cscθ

Its just the reciprocal.

solve:

1/csc θ = 12/13

csc θ = 13/12

Answer:

[tex]cosec(\theta)=\dfrac{13}{12}[/tex]

Step-by-step explanation:

Given:

[tex]cos(\theta)=\dfrac{12}{13}[/tex]

Using trig identity:

[tex]cosec(\theta)=\dfrac{1}{cos(\theta)}[/tex]

[tex]\implies cosec(\theta)=\dfrac{1}{\frac{12}{13}}[/tex]

[tex]\implies cosec(\theta)=1 \times \dfrac{13}{12}[/tex]

[tex]\implies cosec(\theta)=\dfrac{13}{12}[/tex]