Question

evaluate the following:
csc(θ) =
sec(θ) =
cot(θ) =
done
(right triangle with hypotenuse 25 in, opposite side to θ 7 in, adjacent side 24 in, angle θ at the left acute angle)

Explanation:

Step1: Identify sides for θ

Opposite=7, adjacent=24, hypotenuse=25.

Step2: Calculate csc(θ)

$\csc(\theta)=\frac{hypotenuse}{opposite}=\frac{25}{7}$

Step3: Calculate sec(θ)

$\sec(\theta)=\frac{hypotenuse}{adjacent}=\frac{25}{24}$

Step4: Calculate cot(θ)

$\cot(\theta)=\frac{adjacent}{opposite}=\frac{24}{7}$

Answer:

$\frac{25}{7}$, $\frac{25}{24}$, $\frac{24}{7}$