Denominator elimination

With initial problem analysis and application of trigonometric expression simplifying and problem solving strategies, the problems chosen in this fourth NCERT trigonometry problem solving session could be solved in a few easy steps. Problem solving approach leads to quick solutions in minimum number of steps...

With initial problem analysis and application of algebraic expression simplifying strategies, the first problem in this third NCERT trigonometry problem solving session could be solved in a few easy steps. The second problem turned out to be easier in comparison requiring fewer number of steps...

Usually we solve difficult Algebra problems in a few steps using basic and rich Algebra concepts together with powerful general problem solving techniques visualizing the solution in the beginning itself. But this problem required more of deductive reasoning, mathematical reasoning, and exploratory application of core algebraic concepts such as symmetry in algebraic expressions, variable number reduction by component expression substitution and secondary term value sharing...

This is the 56th solution set of 10 practice problem exercise for SSC CGL exam and 5th on topic Trigonometry. Students should complete the corresponding question exercise in prescribed time first and then only refer to this solution set. Some of these 10 questions may seem to be difficult at first glance...

The conventional approach to math problem solving relies heavily on manipulation of terms using low level mathematical constructs without using the problem solving abilities of the student. Following only this approach to solving problems, students may tend to become used to mechanical and procedural thinking suppressing their inherent creative and innovative out-of-the-box thinking abilities. On the other hand, conceptual reasoning without firm mathematical base leads to confusion. In solving hard problems you need to strike a balance...