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The Sambalpur University MBA fee structure is a combination of multiple components. Some of the prominent components included in the fee structure is tuition fees. This fee is to be paid annually.

Combining all, the total fee to pursue this programme ranges from INR 30,570 to INR 1.11 lakh. Interested students can refer to the below table to know the breakdown of the total fees:

Note: The above-mentioned fee is as per the official sources. However, it is indicative and subject to change.

54. L.H.S. = (cos x + cos y)² + (sin x- sin y)²

Using,

cos A + cos B = 2 cos $\frac{A+B}{2}$ cos $\frac{A-B}{2}$

sin A - sin B = 2 cos $\frac{A+B}{2}$ sin $\frac{A-B}{2.}$

L.H.S. = ${\left[2\cdot cos\frac{x+y}{2}cos\frac{x-y}{2}\right]}^2+{\left[2cos\frac{x+y}{2}sin\frac{x-y}{2}\right]}^2$ .

= 4. cos² $\left(\frac{x+y}{2}\right)$ cos² $\left(\frac{x-y}{2}\right)$ . + 4 cos² $\left(\frac{x+y}{2}\right)$ sin² $\left(\frac{x-y}{2}\right)$ .

= 4 cos²$\left(\frac{x+y}{2}\right)$ $\left[co{s}^2\left(\frac{x-y}{2}\right)+si{n}^2\left(\frac{x-y}{2}\right)\right]$

= 4 cos²$\left(\frac{x+y}{2}\right)$ [ $?$ cos²θ+ sin²qθ  = 1].

= R.H.S.

Applicants can book GMAT exam slot as late as 24 hours before the actual exam date. The applicants will not be charged a late fee for this. However, if applicants reschedulc or cancel the GMAT exam dates, based on which a fee will be charged.

53. L.H.S = (sin 3x + sin x) + sin x + (cos 3x - cosx) cosx.

Using

Sin A + sin B = 2 sin $\frac{A+B}{2}$ cos $\frac{A-B}{2}$

cos A - cos B = -2 sin $\frac{A+B}{2}$ sin $\frac{A-B}{2}$ .

L.H.S. = $\left(2sin\frac{3x+x}{2}cos\frac{3x-x}{2}\right)$ sin x + $\left(-2sin\frac{3x+x}{2}sin\frac{3x-x}{2}\right)$ cosx

= 2 sin $\frac{4x}{2}$ cos $\frac{2x}{2}$ sin x -2 sin $\frac{4x}{2}$ sin $\frac{2x}{2}$ cosx.

= 2 sin 2xcosx sin x -2 sin 2x sin xcosx

= 0 = R.H.S.

52. L.H.S. = 2 cos $\frac{\pi }{13}$ cos $\frac{9\pi }{13}$ + cos $\frac{3\pi }{13}$ + cos $\frac{5\pi }{13}$ =∂ .

= 2 cos $\frac{\pi }{13}$ cos $\frac{9\pi }{13}$ + 2 cos $\begin{array}{l}\left(\frac{3\pi }{13}+\frac{5\pi }{13}\right)\\ \overline{2}\end{array}$ cos $\frac{\left(\frac{3\pi }{13}-\frac{5\pi }{13}\right)}{2}$

$\left[?cosA+cosB=2cos\frac{A+B}{2}cos\frac{A-B}{2}\right]$

= 2 cos $\frac{\pi }{13}$ cos $\frac{9\pi }{13}$ + 2. cos $\left(\frac{8\pi /13}{2}\right)$ cos $\left(\frac{-2\pi /13}{2}\right)$

= 2 cos $\frac{\pi }{13}$ cos $\frac{9\pi }{13}$ + 2 cos $\frac{4\pi }{13}$ cos $\frac{\pi }{13}$ [ $?$ cos (x) = cosx].

= 2 cos $\frac{\pi }{13}$ $\left[cos\frac{9\pi }{13}+cos\frac{4\pi }{13}\right].$

= 2 cos $\frac{\pi }{13}\left[2\cdot cos\left(\frac{\frac{9\pi }{13}+\frac{4\pi }{13}}{2}\right)cos\left(\frac{\frac{9\pi }{13}-\frac{4\pi }{13}}{2}\right)\right]$

= 2 cos $\frac{\pi }{13}$ $\left[2·cos\left(\frac{13\pi /13}{2}\right)cos\left(\frac{5\pi /13}{2}\right)\right]$

= 2 cos $\frac{\pi }{3}$ × 2 ×cos $\frac{\pi }{2}$ × cos $\frac{5\pi }{26}$ .

= 2 cos $\frac{\pi }{2}$ 2× 0×cos $\frac{5\pi }{26}$

= 0

= R.H.S.

The application form fee to apply for the UG or the PG courses on offer is INR 1,000. Candidates wishing to get admission are required to pay the form fee to successfully register themselves for the admission process. 
Candidates must appear for the SVUET once the application forms have been filled. Candidates who clear the shortlist will be invited for the interveiw round. 

Yes, there are many such government jobs that students can explore after completing the Sambalpur University MBA program. This happens because an effective and well-structured MBA course helps develop essential skills such as problem-solving, strategic planning, and more. Tabulated below are some of the key government job roles offered to students with an MBA degree:

Yes, Jindal School of Art and Architecture does offer a BArch course for the duration of five years, divided into ten semesters, and offered in full-time mode. Moreover, the primary eligibility requirement to get admission into the BArch course is that candidates must complete their Class 12 from the PCM stream with an aggregate of 50%. Moreover, candidates who have a Diploma with Mathematics as a compulsory subject can also apply for the course.  

Yes, joining the top Film Maing colleges in India can be worthwhile for you. For that, you need to check their ROI. Listed below are some colleges along with their tuition fees and average placement package:

Disclaimer: This information is sourced from the official website and may vary.

Candidates must participate in the admission process of Somaiya School of Civilisation Studies and follow the given steps to participate in the admission process: 

Step 1: Fill out the application form for the course and for SVUET. 

Step 2: Appear for the entrance test and clear the cutoff set by the institute

Step 3: Appear for the interview round that is conducted by the institute. 

Step 4: Pay the fee and secure admission. 

Sambalpur University is yet to release the median package details specifically for MBA students. However, the placement details for PG-two-year courses are available. Check the below table to know the previous years' median packages offered to PG-two year students:

51. We have,

sinx + sin 3x + sin 5x = 0.

(sinx + sin 5x) + sin 3x = 0.

Using sin A + sin B = 2 sin $\frac{A+B}{2}$ cos $\frac{A-B}{2}$ .

2 sin $\left(\frac{x+5x}{2}\right)$ cos $\left(\frac{x-5x}{2}\right)$ + sin 3x = 0.

2 sin $\frac{6x}{2}$ cos$\frac{-4x}{2}$  + sin 3x = 0.

2 sin 3xcos (-2x) + sin 3x = 0.

sin 3x [2 cos 2x + 1] = 0 [ $?$ cos (-x) = cosx].

sin 3x = 0 or 2 cos 2x + 1 = 0.

3x = nπ, n∈z. or cos 2x = $\frac{-1}{2}$ = -cos $\frac{\pi }{3}$ = cos  π -$\frac{\pi }{3}$= cos $\frac{2\pi }{3}$

x= $\frac{n\pi }{3}$ , n∈z or 2x = 2nπ± $\frac{2\pi }{3}$ .

x = nπ±$\frac{\pi }{3}$ , n∈z.

MBA ESG Bangalore offers students with six specialisation options. The institute offers new-age MBA specialisations leading to interesting and promising career opportunities. The admission procedure and eligibility criteria for these specialisations are the same. The MBA ESG Bangalore MBA specialisations are listed below:

• MBA in Sports Management
• MBA in International Marketing
• MBA in Luxury & Fashion Brand Management
• MBA in International Business
• MBA in AI & Data Science
• MBA in Fintech Management

Joining the top Film Making colleges in India can be worthwhile for you. For that, you need to check its ROI. Listed below are some colleges along with their tuition fees and average placement package:

Disclaimer: This information is sourced from the official website and may vary.

50. We have,

sec² 2x = 1 tan 2x

1 + tan² 2x = 1 tan 2x [ sec²x = 1 + tan²x]

tan² 2x + tan 2x = 0.

tan 2x (tan 2x + 1) = 0.

tan 2x = 0         or         tan 2x + 1 = 0.

2x = nπ, x∈z or tan 2x = -1 = -tan $\frac{\pi }{4}$ = tan π-$\frac{\pi }{4}$  = tan $\frac{3\pi }{4}.$

x= $\frac{n\pi }{2}$ , n∈z or 2x = nπ + $\frac{3\pi }{4}$ , n∈z.

x = $\frac{n\pi }{2}+\frac{3\pi }{8},$ n∈z

53. Kindly go through the solution