====== Ch 09: Fundamental of Trigonometry ======
<list-group>
  * 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 $ $\sin 45^{\circ} +\frac{1}{2}\cos 45^{\circ}=\frac{3}{\sqrt{2}}$ --- //BISE Gujrawala(2017), BISE Sargodha(2017)//
  * Prove that $cosce \theta+tan\theta sec \theta=cosec \theta sec^2 \theta$ --- //BISE Gujrawala(2017)//
  * Prove that $(tan\theta+cot\theta)^2=sec^2\theta cosec^2\theta$ --- //BISE Gujrawala(2017)//
  * Convert $150^{\circ}$ into radian. --- //BISE Sargodha(2015)//
  * Find $\theta$ when $l=1.5cm$, $r=2.5cm$ --- //BISE Sargodha(2015)//
  * Prove that $\frac{cos\theta+sin\theta}{cos\theta-sin\theta}+\frac{cos\theta-sin\theta}{cos\theta+sin\theta}$ --- //BISE Sargodha(2015)//
  * Find $l$ when $\theta=65^{\circ}20'$, $r=18mm$ --- //BISE Sargodha(2015), BISE Lahore(2017)//
  * Find the value of remaining trigonometric functions if $tan\theta=-\frac{1}{3}$ and the terminal arm of the angle in $II$-Quad. --- //BISE Sargodha(2016)//
  * Prove that $(sec\theta-tan\theta)^2=\frac{1-sin\theta}{1+sin\theta}$ --- //BISE Sargodha(2016)//
  * If $cosec\theta =\frac{m^2+1}{2m}$ and $m>0$, $(0<\theta<\frac{\pi}{2})$, find the values of the remaining trigonometric ratios. --- //BISE Sargodha(2016)//
  * Convert that $\frac{1}{1+sin\theta}+\frac{1}{1-sin\theta}=2sec^2\theta$ --- //BISE Sargodha(2017)//
  * Prove that $\frac{sin\theta}{1+cos\theta}+cot\theta=cosec\theta$ --- //BISE Lahore(2017)//
  * If $tan^245^{\circ}-cos^260^{\circ}=xsin45^{\circ}cos45^{\circ}tan60^{\circ}$ then find $x$ --- //BISE Lahore(2017)//
  * $\frac{tan\theta+sec\theta-1}{tan\theta-sec\theta+1}=tan\theta+sec\theta$ --- //FBISE(2016), FBISE(2017)//
  * Express the sexagasimal measure $75^{\circ}6'30''$ into the measurement. --- //FBISE(2016)//


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