In this section, we will look at evaluating trigonometric functions with trigonometric substitution. A lot of people normally substitute using trig identities, which you will have to memorize. However, Dennis will use a different and easier approach. He will use the idea of Pythagoras Theorem and make a relation with sine and cosine in terms of x to substitute. In more advance questions, we will use Pythagoras Theorem to make a relation with tangent and secant to substitute. No matter what type of questions you do, you will only need to know Pythagoras Theorem and nothing else!
Pre-requisite: Trigonometry Ratio: “SOH-CAH-TOA”
Evaluate the integral (Type A: √a2−x2).
Evaluate the integral (Type B: √a2+x2).
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