Questions: f(x)=tan x g(x)=ctan

f(x)=tan x g(x)=ctan
Transcript text: \[ \begin{array}{l} f(x)=\tan x \\ g(x)=\operatorname{ctan} \end{array} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Evaluate \( f(x) \)

We evaluate the function \( f(x) = \tan x \) at \( x = \frac{\pi}{4} \): \[ f\left(\frac{\pi}{4}\right) = \tan\left(\frac{\pi}{4}\right) = 0.9999999999999999 \approx 1 \]

Step 2: Evaluate \( g(x) \)

Next, we evaluate the function \( g(x) = \cot x \) at \( x = \frac{\pi}{4} \): \[ g\left(\frac{\pi}{4}\right) = \cot\left(\frac{\pi}{4}\right) = 1.0000000000000002 \approx 1 \]

Final Answer

The evaluations yield: \[ f\left(\frac{\pi}{4}\right) \approx 1 \quad \text{and} \quad g\left(\frac{\pi}{4}\right) \approx 1 \] Thus, the final answers are: \[ \boxed{f\left(\frac{\pi}{4}\right) \approx 1} \quad \text{and} \quad \boxed{g\left(\frac{\pi}{4}\right) \approx 1} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
All the other male pigs on the farm were porkers. The best known among them was a small fat pig named Squealer, with very round cheeks, twinkling eyes, nimble movements, and a shrill voice. He was a brilliant talker, and when he was arguing some difficult point he had a way of skipping from side to side and whisking his tail which was somehow very persuasive. The others said of Squealer that he could turn black into white. -Animal Farm, George Orwell How do the key details in the passage develop the central idea that a persuasive speaker can make others believe anything, even lies? The details show that Squealer is forceful and argumentative. The details show that Squealer is attractive, which impresses the others. The details show why other animals might believe anything Squealer says. The details show that Squealer is a hard worker, which is why the others trust him.
failedAnswered
Evaluate d^2 y / d x^2 at the point (3,2). x y - x + y = 5
failedAnswered
Cuál es el resultado de: 12 / 10 · 4 / 5 · 7 / 8 · 3 / 2 = i ?
failedAnswered
A patient's injuries included a right elbow dislocation, a compound fracture of the shaft of the tibia and three missing teeth on the mandible. X-rays of the tibia and fibula indicated cartilaginous epiphyseal plates. The pelvis has a wide pubic angle. The patient is without identification. Which of these descriptions match the diagnosis best? male adult with a fracture to the proximal epiphysis of the tibia male adolescent or child with a fracture to the proximal epiphysis of the tibia female adult with a fracture to the distal epiphysis of the tibia female adolescent or child with a fracture to the diaphysis of the tibia
failedAnswered
7 If the test point chosen makes the inequality statement true, then one should be sure to shade the area that contains the test point. Select one: True False