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- Chapter 13: Inverse Trigonometric Functions @fsc:fsc_part_1_solutions
- eft( {A\sqrt {1 - {B^2}} + B\sqrt {1 - {A^2}} } \right)$ * ${\sin ^{ - 1}}A - {\sin ^{ - 1}}B = {\sin ... eft( {A\sqrt {1 - {B^2}} - B\sqrt {1 - {A^2}} } \right)$ * ${\cos ^{ - 1}}A + {\cos ^{ - 1}}B = {\cos ^{ - 1}}\left( {AB - \sqrt {\left( {1 - {A^2}} \right)\left( {1 - {B^2}} \right)} } \right)$ * ${\cos ^{ - 1}}A - {\cos ^{ - 1}}B = {\cos ^{ - 1}}\left( {AB
- Chapter 14: Solutions of Trigonometric Equation @fsc:fsc_part_1_solutions
- eft( {A\sqrt {1 - {B^2}} + B\sqrt {1 - {A^2}} } \right)$ * ${\sin ^{ - 1}}A - {\sin ^{ - 1}}B = {\sin ... eft( {A\sqrt {1 - {B^2}} - B\sqrt {1 - {A^2}} } \right)$ * ${\cos ^{ - 1}}A + {\cos ^{ - 1}}B = {\cos ^{ - 1}}\left( {AB - \sqrt {\left( {1 - {A^2}} \right)\left( {1 - {B^2}} \right)} } \right)$ * ${\cos ^{ - 1}}A - {\cos ^{ - 1}}B = {\cos ^{ - 1}}\left( {AB
- Unit 02: Differentiation @fsc:fsc_part_2_solutions
- \begin{aligned} \frac{d}{dx}\left(\frac{x+1}{x-1}\right) &= \frac{(x-1)\frac{d}{dx}(x+1)-(x+1)\frac{d}{dx... \begin{aligned} \frac{d}{dx}\left(\frac{x+1}{x-1}\right) &=\frac{d}{dx}\left(1+2(x-1)^{-1}\right)\\ &= 0-2(x-1)^{-2}(1)\\ &= \frac{-2}{(x-1)^2} \end{aligned} $$
- FSc Part 1 (KPK Boards)
- =\left(\begin{smallmatrix}n\\ r\end{smallmatrix} \right)=\frac{n!}{r!(n-r)!}$, its deduction and applicat... students will be able to * find the solution of right angles triangle. * understand oblique triangles
- FSc Part 2 (KPK Boards)
- inuous functions. * recognize the left hand and right hand limits through examples. * define the cont
- Chapter 01: Number System @fsc:fsc_part_1_solutions
- $(x+iy)^n$ (ii) $\left(\frac{x_1+iy_1}{x_2+iy_2}\right)^n, x_2+iy_2\neq 0$ <callout type="tip" icon="t
- Chapter 02: Sets, Functions and Groups @fsc:fsc_part_1_solutions
- tion or Conditional * Bicopnditional : $p\leftrightarrow q$ * Conditionals related with a given C
- Chapter 12: Application of Trigonometry @fsc:fsc_part_1_solutions
- metric Ratios * Exercise 12.1 * Solution of Right Triangles * Exercise 12.2 * Heights and Dis