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Trigonometric Identity & Graphs of Inverse Trigonometric Ratios; Pythagoras Theorem

Subject: Further Mathematics

Class: SS 2

Week: WEEK ..........

Teacher: Grade (Both)

Learning Objectives:

1. Verify the fundamental trigonometric identity $\sin^2 \theta + \cos^2 \theta = 1$ using a right-angled triangle.
2. Sketch the graphs of $y = \sin^{-1} x$, $y = \cos^{-1} x$, and $y = \tan^{-1} x$ stating their domains and ranges.
3. Apply the Pythagorean theorem $a^2 + b^2 = c^2$ to solve real-world problems involving heights and distances.