====== Ch 13: Inverse Trigonometry Functions ======
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  * 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) // 
  * Show that $cos^{-1}(\frac{12}{13})=sin^{-1}(\frac{5}{13})$--- //BISE Sargodha(2015)//
  * Show that $cos(sin^{-1}x)=\sqrt{1-x^2}$--- //BISE Sargodha(2016)//
  * Find the value of $tan(cos^{-1}\frac{\sqrt{3}}{2})$--- //BISE Sargodha(2017)//
  * Prove that $cos^{-1}A+cos^{-1}B=cos^{-1}(AB-\sqrt{(1-A^2)(1-B^2)})$--- //BISE Sargodha(2017)//
  * Prove that $tan^{-1}\frac{3}{4}+tan^{-1}\frac{3}{5}-tan^{-1}\frac{8}{19}=\frac{\pi}{4}$--- //BISE Lahore(2017)//
  * Without using calculator show that $cos^{-1}\frac{4}{3}$--- //BISE Lahore(2017)//







</list-group>
{{tag>FSc FSc_Part1 Important_Questions_FSc_1}}