Class 11MathematicsTrigonometric Functions
Trigonometric Identities
Pythagorean: sin²θ+cos²θ=1, 1+tan²θ=sec²θ, 1+cot²θ=cosec²θ. Sum/difference: sin(A±B)=sinAcosB±cosAsinB. cos(A±B)=cosAcosB∓sinAsinB. tan(A+B)=(tanA+tanB)/(1-tanAtanB). Double angle: sin2A=2sinAcosA. cos2A=cos²A-sin²A=1-2sin²A=2cos²A-1.
10 examples
Concept check 1
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on concept check and show the working clearly.
Definition to application 2
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on definition to application and show the working clearly.
Formula warm-up 3
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on formula warm-up and show the working clearly.
Reasoning practice 4
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on reasoning practice and show the working clearly.
Board-style short answer 5
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on board-style short answer and show the working clearly.
Mistake correction 6
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on mistake correction and show the working clearly.
Visual interpretation 7
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on visual interpretation and show the working clearly.
Applied word problem 8
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on applied word problem and show the working clearly.
Revision challenge 9
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on revision challenge and show the working clearly.
Exam recap 10
For Class 11 Mathematics, explain or solve a trigonometric identities question from the chapter "Trigonometric Functions". Focus on exam recap and show the working clearly.