Holooly Plus Logo
Holooly Plus Logo

Question 6.6.6: Using a Calculator to Find the Values of Inverse Functions U...

Using a Calculator to Find the Values of Inverse Functions

Use a calculator to find the value of in degrees rounded to four decimal places.

a. y=\tan ^{-1} 0.99         b. y=\sec ^{-1} 25          c. y=\cot ^{-1}(-1.3)

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

Set your calculator to Degree mode.

a.  y=\tan ^{-1} 0.99 \approx 44.7121^{\circ}

b.  y=\sec ^{-1} 25=\cos ^{-1} \frac{1}{25} \approx 87.7076^{\circ}

c. y=\cot ^{-1}(-1.3)=180^{\circ}+\tan ^{-1}\left(-\frac{1}{1.3}\right) \approx 142.4314^{\circ}

Related Answered Questions

Question: 6.3.7

Using Reference Angles to Find Trigonometric Function Values OBJECTIVE Find the value of any trigonometric function of a nonquadrantal angle θ. Step 1 Assuming that θ > 360° or θ < 0°, find a coterminal angle for θ with degree measure between 0° and 360°. Otherwise, go to Step 2. ...

Verified Answer:

Because 1320^{\circ}=3\left(360^{\circ}\ri...
Question: 6.5.1

Graphing y = a tan b(x – c) or y = a cot b(x – c) OBJECTIVE Graph a function of the form y = a tan [b(x – c)] or y = a cot [b(x – c)], where  b > 0, by finding the period and phase shift. Step 1 Find the following: vertical stretch factor = |a| period = π/b phase shift = c ...

Verified Answer:

1. \begin{aligned}&y= \underset{\overs...
Question: 6.4.8

Graphing y = a cos b[(x – c)] Graph y=-cos [2(x + π/2)] over a one-period interval. ...

Verified Answer:

Use the steps in Example 7 for the procedure for g...
Question: 6.4.7

Graphing y = a sin [b(x – c)] and y = a cos [b(x – c)] OBJECTIVE Graph a function of the form y = a sin [b(x – c)] or y = a cos [b(x – c)], with b > 0, by finding the amplitude, period, and phase shift. Step 1 Find the amplitude, period, and phase shift. amplitude = |a| period = 2π/b ...

Verified Answer:

1. \begin {array}{rr} y = & 3 & \si...
Question: 6.4.6

Graphing y = a sin (x – c) Graph y = sin (x – π/2) over a one-period interval. ...

Verified Answer:

Recall that for any function f, the graph of y = f...
Question: 6.4.3

Graphing y = acos x Graph y = -2 cos x  over the interval [-2π, 2π]. Find the amplitude and range of the function. ...

Verified Answer:

Begin with the graph of y=2 cos x. Multiply the y-...
Question: 6.3.10

Finding Exact Circular Function Values in Three Ways Find sin 5π/6, cos 5π/6, and tan 5π/6 by a. using Figure 47 to find the endpoint of the arc intercepted by t = 5π/6. b. using reference angles and Table 2 from Section 3. c. converting 5π/6 to degrees. ...

Verified Answer:

a. From Figure 47, we see that the endpoint of the...
Question: 6.6.9

Finding the Rotation Angle for a Security Camera A security camera is to be installed 20 feet away from the center of a jewelry counter. The counter is 30 feet long. What angle, to the nearest degree, should the camera rotate through so that it scans the entire counter? See Figure 87. ...

Verified Answer:

The counter center C, the camera A, and a counter ...
Question: 6.6.8

Finding the Exact Value of a Composite Trigonometric Expression Find the exact value of a. cos(tan^-1 2/3). b. sin[cos^-1 (-1/4)]. ...

Verified Answer:

a. Let θ represent the radian measure of the angle...
Question: 6.6.7

Finding the Exact Value of sin^-1 (sin x) and cos^-1 (cos x) Find the exact value of a. sin^-1 [sin(-π/8)] b. cos^-1 (cos 5π/4) ...

Verified Answer:

a.   Because  -\frac{\pi}{2} \leq-\frac{\p...