Senior Maths Masterclass (Classes 11-12)

Ever wondered why we wrote 'no real roots' in Class 10? In Class 11, we learn about imaginary numbers, or 'iota'. I explain the basics of iota and its powers, which is the foundation of the complex numbers chapter.

Solving a previous year question on Inverse Trigonometry from the 2012 board exam. I walk through the step-by-step process of finding the principal value, paying close attention to the properties of secant inverse.

Here's a trick to solve a common type of inverse trigonometry problem. I first show the shortcut to get the answer in seconds, and then explain the detailed method using the formula sin inverse x + cos inverse x = π/2 for a complete understanding.

Another HOTS (High Order Thinking Skills) question from the Delhi 2013 board paper on inverse trigonometry. We practice these questions regularly so that students are prepared for any challenge in the exam.

Solving another previous year question on inverse trigonometry. Consistent practice of different question types, like this one involving cos inverse, ensures all concepts are thoroughly revised.

This is the same problem as the previous one, just to reinforce the concept. Repetition is key to mastering the steps and formulas in inverse trigonometry.

This problem from the All India 2014 paper involves multiple steps, including simplifying the expression inside the cot function first. I break it down to make it easy to follow.

A principal value question from 2014 that combines two trigonometric concepts. First, we solve for sin(-π/2) and then find the tan inverse of the result.

What do you do when the angle is outside the principal range, like cos(680°)? I explain how to use quadrants and allied angles to bring the value within the range, a crucial skill for inverse trigonometry.