In this chapter, we will be learning about trigonometric functions.
We will start by understanding positive and negative angles and how they relate to trigonometry.
Next, we will explore the trigonometric ratios of any angle, which will help us solve problems involving triangles and angles.
We will also study the graphs of the sine, cosine, and tangent functions, which will give us a visual representation of these functions.
Lastly, we will learn about basic identities, which are important for simplifying trigonometric expressions.
By the end of this chapter, we will have a solid understanding of trigonometric functions and how to apply them in various situations.
• Represent the positive angle and negative angle in Cartesian plane
• Make relationship between secant, cosecant and cotangent with sine, cosine and tangent
• Determine the value of trigonometric ratio of any angle
• Draw and sketch the graph of trigonometric function: (i) y = a sin bx + c (ii) y = a cos bx + c (iii) y = a tan bx + c such that a, b and c are constant and b > 0
• Solving the trigonometric equation using graph method
• Deduce basic identity: (i) sin^2 A +cos^2 A=1 (ii) 1+tan^2 A=sec^2 A (iii) 1+kot^2 A=cosec^2 A
• Prove the trigonometric identity using basic identity
• Prove the trigonometric identity using compound angle formula for sin (A B), cos (A B) and tan (A B)
• Deduce multiple angle formula for sin 2A, cos 2A, dan tan 2A
• Prove trigonometric identity using multiple angle formula
• Solving trigonometric equation
• Solving problems involving trigonometric function
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