Share0 Share +10 Tweet0 One of the most effective ways to solve Three Dimensional Trigonometry questions is to list all of the trigonometric ratios appeared in the questions. Then connect each relevant ratios to the question. Worked Examples of Three Dimensional Trigonometry Question 1 \(X\) and \(Y\) are two points on the same bank of […]

# Trigonometry

# Integration using Trigonometric Properties

Share0 Share +10 Tweet0 Trigonometric properties such as the sum of squares of sine and cosine with the same angle is one, $$ \displaystyle \sin^2{\theta} + \cos^2{\theta} = 1 \\ \cos\Big(\frac{\pi}{2} – \theta \Big) = \sin{\theta} $$ can simplify harder integration. Worked Example of Integration using Trigonometric Properties (a) Find \(a\) and \(b\) for \(\displaystyle […]

# Trigonometric Proof using Compound Angle Formula

Share0 Share +10 Tweet0 There are many areas to apply the compound angle formulas, and trigonometric proof using compound angle formula is one of them. $$ \begin{aligned} \require{color} \sin (x + y) &= \sin x \cos y + \sin y \cos x &\color{green} (1) \\ \sin (x – y) &= \sin x \cos y – […]

# 3 Ways of Evaluating Nested Square Roots

Share0 Share +10 Tweet0 Nested square roots or nested radical problems are quite interesting to solve. The key skill for this question is to understand how the students can handle “…”. This enables us to setup a quadratic equation to evaluate its exact value using the quadratic formula, \(\require{color}\) $$x= \frac{-b \ \pm \sqrt{b^2 – […]