Ch 03 -Trigonometric Functions
ICSE · Class 11 · Mathematics
Summary of Ch 03 -Trigonometric Functions for ICSE Class 11 Mathematics. Key concepts, important points, and chapter overview.
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Trigonometric functions are built from angles, circle geometry, and periodic motion. The chapter begins with the idea of an angle as the figure formed by two rays with a common end-point, then introduces degree and radian as the main units for measuring angles. It then develops the six trigonometric
Key Concepts
An angle is formed by two
An angle is formed by two rays with a common end-point. The common point is the vertex, and the rays are the initial side and terminal side. Anticlock
A degree is 1/360 of
A degree is 1/360 of a revolution. A radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. The relation is
If a circle has radius r
If a circle has radius r and central angle θ in radians, then arc length is l = rθ and sector area is A = (1/2)r²θ.
For a point P(a
For a point P(a,b) on the unit circle, with angle x measured from the positive x-axis, sin x = b and cos x = a. Then tan x = sin x / cos x, cot x = co
sin x and cos x
sin x and cos x are defined for all real numbers and have range [-1,1]. tan x is undefined where cos x = 0, i.e. at odd multiples of π/2. cot x and co
Learning Objectives
- Understand angles, their sign convention, and the two main units of measurement: degree and radian.
- Convert between degrees, radians, degree-minute-second form, and decimal degrees.
- Use the arc length formula l = rθ and sector area formula A = (1/2)r²θ with θ in radians.
- Define sine, cosine, tangent, cotangent, secant, and cosecant using the unit circle.
- Identify domains, ranges, and zeroes of trigonometric functions.
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