Question

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

Answer 1

Answer:

$cosec(\theta)=\dfrac{13}{12}$

Step-by-step explanation:

Given:

$cos(\theta)=\dfrac{12}{13}$

Using trig identity:

$cosec(\theta)=\dfrac{1}{cos(\theta)}$

$\implies cosec(\theta)=\dfrac{1}{\frac{12}{13}}$

$\implies cosec(\theta)=1 \times \dfrac{13}{12}$

$\implies cosec(\theta)=\dfrac{13}{12}$

Answer 2

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