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Chapter 6: Q 24. (page 381)

Find the exact value. Do not use a calculator.
$\cot \frac{7 π}{2}$

Short Answer

Expert verified

The exact value of $\cot (\frac{7 π}{2}) = 0$

Step by step solution

Step 1. Given information

$\cot \frac{7 π}{2}$

Step 2. Unit circle

$Rotate anticlockwise to form \frac{7 π}{2} angle with the positive x - axis . The \cot (\frac{7 π}{2}) equals the \frac{x - coordinate}{y - coordinate} of the point of intersection (0, - 1) of unit circle .$

Step 3. Final answer

$\cot (\frac{7 π}{2}) = \frac{x}{y} = \frac{0}{- 1} = 0 \cot (\frac{7 π}{2}) = 0$

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Most popular questions from this chapter

In Problem $85 a n d 86$ graph each of the function

$g (x) = \{\begin{cases} 2 \sin x i f 0 \leq x \leq π \\ \cos x + 1 i f π < x \leq 2 π \end{cases}$

An angle $θ$ is in ________ _________ if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis.

What is the formula for the circumference $C$ of a circle of radius $r$ ? What is the formula for the area $A$ of a circle of radius $r$ ?

If a particle has a speed of $r$ feet per second and travels a distance $d$ (in feet) in time $t$ (in seconds), then $d =_______$ .

In problems 13-20, $P (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ .

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Find the exact value. Do not use a calculator.cot7π2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Unit circle

Step 3. Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Find the exact value. Do not use a calculator.
$\cot \frac{7 π}{2}$