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332 Views

If cosec theta + cot theta = K, then prove that cos theta = K^2 -1/K^2 +1

Parmeshwar Suhag 3rd Jan, 2021

Hi,

Let me take the angle Thita as 'x'. So, given is that

Cosec x + Cot x = k,

To prove that : Cos x = k^2 - 1/k^2 +1

So take the given equation we have,.

1/sinx + cosx/sinx = k,

1+cosx/sinx = k, Now we use the formula that 1+cosx = 2cos^2(x/2) and sinx = 2sin(x/2).cos(x/2)

Hence k = cot(x/2)

put value of k in the proving equation,

(k^2 -1)/ (k^2 + 1) = cot^2(x/2)  - 1 / cot^2(x/2)

this gives , = cosec^2(x -2) / cosec^2 (x/2)

when you change it in terms of sinx and use the formula of cos2x = cos^2x - sin^2x , you will get the answer cosx.

Hope it helps.

57 Views

mathamatics is important for bipc to join in iiser

rachanapbennur 10th Oct, 2020

Hello Pavan!

Let me tell you first about IISER exam pattern. IISER exam consists of 4 section: Physics, Chemistry, Mathematics and Biology. There are 15 questions asked from each section for the total duration of 3 hours of the exam. 3 marks are awarded for every right answer and 1 mark deducted for incorrect answer. No marks awarded or deducted for unattempted questions.

Now, it is not compulsory to attend math section, however, if you dont attend, then you will be loosing 15 marks for sure. So I suggest you to study math too. Join any coaching centre or if you can study on your own. There are several materials available online now.

https://engineering.careers360.com/articles/iiser-syllabus-exam-pattern

Refer to this article to know about IISER syllabus.

All the best!

56 Views

rajkiy uchch Taal Vidyalay taravana

Aman Kumar Tiwari Student Expert 11th Jul, 2020

Hii aspirant ,

Coming to your question can you please tell that what information you want clearly in your question whether the admission process or college infrastructure , just type the question or your query we will happy to reply you.

42 Views

mam I get 58% in 12 board can I get admission in jb college for major mathamatics

Deblina Roy 8th Jul, 2020

Dear Student,

Jagannath Barooah College wants 45% marks in both mathematics and English subjects. This is the minimum marks for admission in this subject but this is depend on the performance of the students applied for this course. But you have scored more than the minimum marks so don't worry , there must be a chance for you.

Thank You.

80 Views

mam I got 58% in 12 board can I admission in jb college major subject mathamatics

Yash Dev Student Expert 28th Jun, 2020

Hello student I request you to please help me with your preferable course you're willing to pursue in Jagannath Barooh college so that I can check and provide you the exact information about eligibility criteria as Jagannath Barooh college offer various courses.

For more updates refer to the link mentioned below - https://jbcollege.org.in/

Feel free to comment if you have any doubt

Good luck

62 Views

eligibility for admission in b.sc mathamatics pass course

Prashant D. Gaikwad 4th Aug, 2020

Hey Ritik , Students seeking admission in B.Sc degree are required to fulfill some basic requirements before they get admission in any institutes. The requirements are listed below

  • Students need to have passed/studying in class 12 or its equivalent exam from any recognised institution.

  • Some institutions also have restrictions on minimum percentage requirements ranging from 50 to 60% while many institutes require just a pass class in class 12.

  • There is no restriction on age but a few institutions also have eligibility conditions for age.

  • Students belonging to reserved category are provided with relaxations in percentage and age.


B.Sc Mathematics Course Curriculum

B.Sc Mathematics Curriculum

Algebra

Calculus

Real Analysis

Basic Statistics & Probability

Differential Equations

Analytical Solid Geometry

Data Structures and Operating Systems

Matrices

Mechanics

Sequences & Series of Real Numbers

Linear Programming

Abstract Algebra

Ring Theory and Linear Algebra

Theory of Real Functions

Complex Analysis

Discrete Mathematics

Numerical Analysis

Linear Programming & Its Applications

Probability Theory

Vector Analysis


I hope this helps to you and thank you !!!


44 Views

what is the spare of 192682750

Anantika Kushwaha 26th May, 2020

Hello Aspirant,


Please look at your query. What do you mean by spare? Did you intended to ask square?

53 Views

what is the area of 1212222890

Anantika Kushwaha 26th May, 2020

Hello Aspirant,


I would request you to check your query again. We can calculate the area of a closed figure only, whether 2D or 3D. So please look into the query.

57 Views

can i have common portion related to mains and EAMCET

Ankit Dahiya Student Expert 21st Apr, 2020
Hello,
EAMCET is conducted for admissions to Engineering, Agriculture, Medical undergraduate courses in AP and Telangana while JEE Mains is conducted for admission to B.Tech courses in NITs, IIITs and other engineering colleges.
The syllabus for both the exams is based on class XII science subjects i. e. Physics, Chemistry and Mathematics.
So, the syllabus is same for both the exams. However generally speaking the JEE Mains being a national level exam has higher difficulty of questions as compared to EAMCET.
So, it would be best to prepare for JEE Mains and your preparation for EAMCET would be done automatically. Just go through the previous year question papers of both to get a fair idea of the comparison between the two exams.

Follow this link for more information EAMCET
https://dqxeclau.top/exams/ap-eamcet

Follow this link for more information JEE Mains
https://engineering.careers360.com/exams/jee-main

Good luck
753 Views

what would be good decision for BSc data science from 2020 among - ILEAD college kolkata, NSEC college kolkata, NSHM knowledge college kolkata, MAKAUT university Haringhata, Technology india university kolkata Or any in West Bengal?

Manidipa Kundu Student Expert 28th Apr, 2020

hi,

I have rearranged the colleges as per  preferences,

1. techno india university

2. makaut university

3. nsec college kolkata

4. nshm knowledge campus

5. ilead college kolkata.

hope it would help.

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