Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 00:50:34 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/fsc-part1-ptb/important-questions/ch09-fundamentals-of-trigonometry Ch 09: Fundamental of Trigonometry * Find the value of the remaining trigonometric functions of $\theta$, If $cos \theta=\frac{12}{13}$ and the terminal side of the angle is not in the $I$ Quadrant. --- BISE Gujrawala(2015) * Express in radian $120'40''$ --- BISE Gujrawala(2017) * Verify $2 $ $\sin 45^{\circ} +\frac{1}{2}\cos 45^{\circ}=\frac{3}{\sqrt{2}}$$cosce \theta+tan\theta sec \theta=cosec \theta sec^2 \theta$$(tan\theta+cot\theta)^2=sec^2\theta cosec^2\theta$$150^{\circ}$$\theta$$l… anonymous@undisclosed.example.com (Anonymous) Sun, 28 Nov 2021 18:19:36 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch02-functions-and-groups Ch 02: Functions and Groups The important questions of Chapter 2 of Textbook of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan has been given on this page. These questions are selected from old papers.$(2,4)$$\{a,\{b,c\}\}$$A-B=A \cup B^c$$p \longrightarrow q$$\{(1,2),(2,5),(3,7),(4,9),(5,11)\}$$\{a,b \}$$\{\{a,b\}\}$$~(p \longrightarrow q) \longrightarrow p$$A \cap(B \cup C)=(A \cap B)\cup(A \cap C)$$A=\{1,2,3,4\}$$B=\{3,4,5,6,7,8\}$$C=\{5,6,7,9,… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:39 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch11-trigonometric-functions-and-their-graphs Ch 11: Trigonometric Functions and Their Graphs * Find the period of $\sin 4x$ --- BISE Gujrawala(2015) * Find the period of $\tan 4x$ --- BISE Gujrawala(2017) * Find the period of $\sin\frac{x}{5}$ --- BISE Sargodha(2015), BISE Sargodha(2016) * Find the period of $cosec10x$ --- BISE Sargodha(2015)$\cot\frac{x}{2}$$\sin x$$2\pi$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:44 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch13-inverse-trigonometry-functions Ch 13: Inverse Trigonometry Functions * Find the value of $cos^{-1}(\frac{1}{2})$ --- BISE Gujrawala(2015) * Prove that $2tan^{-1}(\frac{1}{3})+tan^{-1}(\frac{1}{7})=\frac{\pi}{4}$ --- BISE Gujrawala(2015), FBISE(2016) * Prove that $sin^{-1}(\frac{1}{\sqrt{5}})+cot^{-1}(3)=\frac{\pi}{4}$--- BISE Sargodha(2015), BISE Sargodha(2016), BISE Gujrawala(2017) * Prove that $cos^{-1}(-x)=\pi-cos^{-1}x$--- BISE Gujrawala(2017), FBISE(2017) $cos^{-1}(\frac{12}{13})=sin^{-1}(\frac{5}{13})$$cos(sin… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:46 +0000