NCERT solutions for class 10 maths Trigonometry set 3
Algebraic simplification techniques for Trigonometry play the key roles in solving the selected NCERT Class 10 trigonometry problems in a few steps.
This is not specific to any exam. Each article highlights how difficult problems can be solved say in 3 steps instead of conventional 10 steps.
Under this section we will solve typical math problems that a student might find difficult when preparing for competitive tests such as SSC CGL, CAT, GRE etc. We will also cover Secondary school level or even occasionally Olympiad level problems.
The chief criteria that will be common to the problems here will be three:
We don't like to deal with laborious problems. Generally each of these problems can be solved in a number of ways.
As we teach efficient problem solving as a subject, we will always try to find the easiest way to solve a problem explaining the strategy and the process that were required to reach such a quick solution.
It means, each problem and its solution that we explain here won't just be for that specific problem. More importantly, the underlying concepts about how the solution was reached efficiently and in very quick time, form the most valuable treasure to be recognized and owned by the student by understanding the concepts and applying the concepts in future problems.
Algebraic simplification techniques for Trigonometry play the key roles in solving the selected NCERT Class 10 trigonometry problems in a few steps.
A problem that looks difficult but not awkward, with some symmetry in the expressions, you should be able to detect the key patterns and discover the methods to use the patterns as well as general strategies to solve it quickly in a few steps...
We may classify the NCERT class 10 Trigonometry problems we will solve in this session as elegant within a minute problems, where instead of time-consuming conventional method, we adopt pattern and method based high speed problem solving...
We may classify the NCERT class 10 Trigonometry problems we will solve in this session as elegant within a minute problems, where conventional deductions may take a backseat leaving the lead to pattern and method based high speed problem solving...
In a problem involving both the given and target three variable expressions as symmetric and balanced between the three variables, pattern based general strategies should give you the desired result in quick time...
At the first look, this long-worded work time problem seemed to be a problem of two workers working together to be solved using standard mathematical deductions, but the hidden depths in this real life work place problem could have been discovered as well as solution reached quickly in mind only with analytical approach that is followed perhaps everyday in such real life work place problem situations...
A systematic event occurs at intervals, changing problem parameters. The challenge is to find the boundary before the event's full impact occurs.
In 42 days 40 men complete a work. As it happened, instead of all of them working together to finish the job, they started working together, but at the end of every 10th day 5 men left. In how many days would then the work be completed? Rich time and work concept of Mandays technique along with natural number concepts deliver speedy solution...
C and A can do a piece of work in 20 days, B and C in 24 days, and A and B in 30 days. B and C leave after three of them work together for 10 days. In how many more days would A complete the work? Using rich concept of Work rate technique and solving the problem as far as possible in mind, without writing anything on paper, results in within a minute solution...
A concise description on how to solve profit and loss problem in a few steps using basic and advanced profit and loss concepts and techniques.