Exercise 10.1 Full Solution | Chapter 10 Class 11 Maths | 1st Year Math FSc & ICs PCTB New Book 2025

These questions are according to the Punjab new textbook of Math 11th Class. For the students of FSc (Pre Engineering) and ICs.

📌 Topics Covered in 11th Class Maths Chapter 10:
✔️ Trigonometric Identities
✔️ Distance Formula d = √(x2 - x1)² + (y2 - y1)²
✔️ Fundamental laws of trigonometry
sin(A±B)=sinAcosB±cosAsinB
cos(A±B)=cosAcosB∓sinAsinB
tan(A±B)=tanA±tanB / 1∓tanAtanB
✔️ Trigonometric ratios of allied angles
✔️ Double angle identities
sin(2θ)=2sinθcosθ
cos(2θ)=cos²θ−sin²θ=2cos ²θ−1=1−2sin²θ
tan(2θ)= 2tanθ / 1−tan²θ
✔️ Half-Angle Identities
sin(θ/2)=± √(1−cosθ) / 2
cos(θ/2)=± √(1+cosθ) / 2
tan(θ/2)=± √(1−cosθ) / √(1+cosθ) = 1−cosθ / sinθ
✔️ Triple Angle Identities
sin(3θ)=3sinθ−4sin^3θ
cos(3θ)=4cos^3θ−3cosθ
tan(3θ)=3tanθ−tan^3θ / 1−3tan^2θ
✔️ Product and Sum of Trigonometric Identities

🔴 Jump to Your Required Question Using Time Stamps:
⏩ 00:00:20 – Concepts with Fundamental Formulae
⏩ 00:08:45 – Q1: Without using the tables, find the values of:
⏩ 00:17:40 – Q2: Express each of the following as a trigonometric function of an angle of positive degree measure of less than 45°
⏩ 00:24:45 – Q3: Prove the following
⏩ 00:35:05 – Q4: Prove that
⏩ 00:45:12 – Q5: Show that sec(3π/2 - θ)sec(5π/2 - θ) - tan(3π/2 - θ)tan(5π/2 + θ) = -1
⏩ 00:48:20 – Q6: If α, β, γ are the angles of a triangle ABC, then prove that

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