Maths · Class 11 · Chapter 3
Trigonometric Functions
13 lessons137 min8 simulations
This chapter turns the triangle ratios of earlier classes into functions defined for every real number. It measures angles in degrees and radians, defines sine and cosine as the coordinates of a point on the unit circle, studies all six functions with their signs, domains, ranges and graphs, and derives the sum, difference, multiple angle and sum-to-product identities used throughout calculus and coordinate geometry.
Also called: trigonometry · trigonometric identities · trigonometric equations
Lessons
13 lessons · 137 min
01Angles and degree measureNCERT §3.2.18 min02Radian measure and arc lengthNCERT §3.2.211 min1 sim03Converting between degrees and radiansNCERT §3.2.47 min04Sine and cosine on the unit circleNCERT §3.312 min1 sim05The other four trigonometric functionsNCERT §3.38 min06Signs in the four quadrantsNCERT §3.3.110 min1 sim07Domain, range and graphsNCERT §3.3.212 min1 sim08Sine and cosine of sums and differencesNCERT §3.411 min1 sim09Allied anglesNCERT §3.411 min1 sim10Tangent and cotangent of sumsNCERT §3.411 min1 sim11Double and triple angle formulasNCERT §3.411 min1 sim12Sum and product formulasNCERT §3.48 min13Chapter reviewMust-know facts, traps and formulas17 min
Simulations
8 in this chapter
What one radian looks likeIn: Radian measure and arc lengthSine and cosine on the unit circleIn: Sine and cosine on the unit circleAll six values from oneIn: Signs in the four quadrantsThe six graphs and their periodsIn: Domain, range and graphsWhy sin (A + B) is not sin A + sin BIn: Sine and cosine of sums and differencesAllied angles are mirror imagesIn: Allied anglestan (A + B) as the slope of a turned lineIn: Tangent and cotangent of sumsDoubling the angle is not doubling the valueIn: Double and triple angle formulas