Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 14:32:18 +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$$l… anonymous@undisclosed.example.com (Anonymous) Sun, 28 Nov 2021 18:19:36 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch10-trigonometric-identities Ch 10: Trigonometric Identities * Prove that (without calculator) $\sin 10^{\circ}\sin 30^{\circ}\sin 50^{\circ}\sin 70^{\circ}=\frac{1}{16}$ --- BISE Gujrawala(2015) * Prove that $\sin(\frac{\pi}{4}-\theta)\sin(\frac{\pi}{4}+\theta)=\frac{1}{2}\csc^2\theta$ --- BISE Gujrawala(2017) * Prove that $\sin(\theta+\frac{\pi}{6})=\cos\theta$ --- BISE Gujrawala(2017) * Using without table or calculator find $tan(1110^{\circ})$ --- BISE Sargodha(2015), BISE Gujrawala(2017)$sin(180^{\circ}+\a… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:44 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch11-trigonometric-functions-and-their-graphs Ch 11: Trigonometric Functions and Their Graphs * Find the period of $\sin 4x$ --- BISE Gujrawala(2015) * Find the period of $\tan 4x$ --- BISE Gujrawala(2017) * Find the period of $\sin\frac{x}{5}$ --- BISE Sargodha(2015), BISE Sargodha(2016) * Find the period of $cosec10x$ --- BISE Sargodha(2015)$\cot\frac{x}{2}$$\sin x$$2\pi$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:44 +0000 https://www.mathcity.org/fsc-part1-ptb/important-questions/ch14-solutions-of-trigonometric-equation Ch 14: Solutions of Trigonometric Equation * Solve $cose^2\theta=\frac{4}{3}$ in $[0,2\pi]$--- BISE Gujrawala(2015), BISE Sargodha(2016), BISE Gujrawala(2017) * Solve $sinx=\frac{1}{2}$ in $[0,2\pi]$--- BISE Gujrawala(2015) * Solve $cot\theta = \frac{1}{\sqrt{3}}$, $\theta \in [0,2\pi]$--- BISE Gujrawala(2017), BISE Sargodha(2016) * Solve $sec^2\theta=\frac{4}{3}$ in $[0,2\pi]$--- BISE Sargodha(2015)$4cos^2x-3=0$$x \in [0,2\pi]$$secx=-2$$x \in [0,2\pi]$$cosec\theta=2$$[0,2\pi]$$tanx=-1… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:46 +0000