Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
sec 2 is approximately –2.403.
Solution
Recall that sec θ = 1/cos θ. Therefore, for θ = 2 (radians), we have
sec 2 = 1/cos 2.
Using a calculator, cos 2 ≈ –0.4161468365. Hence,
sec 2 ≈ 1/(–0.4161468365) ≈ –2.403.
Thus, sec 2 is approximately –2.403 (with 2 interpreted in radians).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
To compute sec 2, we first need to remember that secant is the reciprocal of the cosine function. So, sec(2) = 1/cos(2). Using a calculator, cos(2) (where the angle is in radians) is approximately -0.4161. Therefore, sec(2) is about -2.403. So, the answer is sec(2) ≈ -2.403. And remember, secant functions can lead to some fascinating patterns when graphed! They have vertical asymptotes wherever cosine equals zero, creating those eye-catching curves that twist and turn through the coordinate plane. It’s like a rollercoaster ride for math lovers!
