Since the functions y = cos x and y = cos 1 x are inverse functions, why
Question:
Since the functions y = cos x and y = cos−1 x are inverse functions, why is cos−1 (cos (− π/6)) not equal to −π/6 ?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
The inverse trigonometric relations are not functions because for any given input there ...View the full answer
Answered By
Dudhat Vaidehi
I tutored mostly elementary school students privately after school and during the summer. We met in their homes or at the public library. I charged an hourly fee, and I provided any necessary materials.
Having taught in special education in two local schools for many years meant that I had contact with a lot of parents of special needs students. I never had to advertise — word of mouth was how most folks knew of me. At one point I did have a website, but didn't utilize it much. I stayed very busy, especially in the summers, and always had a full schedule. I typically met with each student's teacher in order to get an idea of what the focus of my instruction/remediation should be. Becoming familiar with the student's learning style(s) was also very helpful. Often parents would share records and test results with me. After each tutoring session, I documented the student’s progress and gave parents written updates, as well as phone calls or emails as needed.
While my students and I certainly utilized technology and the internet often during our sessions, I never tutored online or for any tutoring company, so am not familiar with the curriculums or methods used in those settings.
Tutoring one on one was very enjoyable and rewarding. My students and I had fun, and grew quite fond of one another. The extra income was a bonus. I had to retire from tutoring due to a physically handicapping disease, and miss my students very much.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The functions cos x and sin x are both unit vectors in C[-Ï, Ï] with inner product defined by (a) Show that cos x ¥ sin x. (b) Determine the value of ||cos x + sin x||2. = | f(x)g(x)dx
-
The function f: X Y has an inverse function f -1: Y X if and only if f is one-to-one and onto.
-
The circle x = a cos t, y = a sin t, 0 t 2, is revolved about the line x = b, 0 < a < b, thus generating a torus (doughnut). Find its surface area.
-
There are two major producers of corncob pipes in the world. Suppose that the inverse demand function for corncob pipes is described by p = 120 - 4g where g is total industry output and suppose that...
-
The 2014 populations and land areas are shown in Table 28 for various states. Round all unit ratios to the second decimal place: a. Find the unit ratio of New Yorks population to New Jerseys...
-
When economies of scale exist, firms with large volumes of production will have lower costs than firms with smaller volumes of production. The realization of these economies of scale, however, is far...
-
Why is the concept of an ongoing concern important to the interpretation of financial statements?
-
During 2014, Antoinette started a construction job with a contract price of $2.5 million. The job was completed in 2016 and information for the three years of construction is as follows: Instructions...
-
relation R(A, B, C, D, E). given the following set F of functional dependencies for a F {ABC, BCD, EA, BEC, ABE D} = (a) Is BE ABC implied by F? In other words, is BE ABC F+? If yes, use the...
-
What are some of the competitive advantages Vivobarefoot gained through its infrastructure update? One ongoing concern for Vivobarefoot is the quality and speed of the Internet service available to...
-
For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline. f(x) = 5cos x
-
How can the graph of y = cos x be used to construct the graph of y = sec x?
-
Consider the valve opening data displayed in Table 11.1. Suppose the data represent valves produced on four different machines on three different shifts and that the quality controllers want to know...
-
We wrap a light, nonstretching cable around a 9.00 kg solid cylinder with diameter of 32.0 cm. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of...
-
What is the heat energy involved in the change of state, or phase, in water? sensible heat mechanical heat fusion heat latent heat
-
The wetter, intercepting slope of a mountain is termed the ________ slope, whereas the drier, downwind slope is termed the ________ slope. a. leeward; windward b. windward; leeward c. west side; east...
-
(b) A conical solid of diameter 1.5 m and height 2 m was immersed into the river in an inverted position as shown in Figure 2(b). The density of the water in the river was 1000 kg/m. If the base of...
-
A shock wave occurring when an object travels through air can be considered to be: A B C A loud bang as the object passes. A discontinuity in the air flow. Cold air meeting hotter air. D) Sound wave...
-
How can the selective placement of the final intermediate anneal be used to establish desired final properties in a cold formed product?
-
Estimate a range for the optimal objective value for the following LPs: (a) Minimize z = 5x1 + 2x2 Subject to X1 - x2 3 2x1 + 3x2 5 X1, x2 0 (b) Maximize z = x1 + 5x2 + 3x3 Subject to X1 + 2x2 +...
-
whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not. 2x2 x + 1
-
whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not. x 2 + 2x 5
-
whether the expression is a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not. 3x 2 + 4
-
The measurement of fog in an airport shows that the droplet size distribution of the fog may be represented by the equations: 50x15 m No(x)=0.83+0.0431n(x) 15 x4 m No(x) =0.30+0.2391ln(x) 42x0.5 m...
-
Your client wishes you to investigate a telecommunications company with the following balance sheet and details (below): Long-term debt $ Bonds: Par $1,000, annual coupon 7% p.a., 3 years to maturity...
-
C. 5. As mentioned previously, the ratio of the size of the fist to the length of the arm is proportional for everyone, regardless of age or gender. At arm's length, your fist covers 10. The diagram...
Study smarter with the SolutionInn App