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Ch 10: Trigonometric Identities

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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank: 12 Hits, Last modified: 5 months ago; )$ then $z^{-1}= $ - $(\displaystyle{\frac{1}{10}},\displaystyle{\frac{3}{10}})$ - $(-\displaystyle{\frac{1}{10}},\displaystyle{\frac{3}{10}})$ - $(\displaystyle{\frac{1}{10}},-\displaystyle{\frac{3}{10}})$
Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01: 9 Hits, Last modified: 5 months ago; y:** Associative property w.r.t. '+'. ---- (iv) $(100+0) = 100$ **Property:** Additive identity w.r.t. '+'. ---- (v) $(1000 \times 1) = 1000$ **Property:** Multiplicative identity w.r.t. '$\times$'. ---- (vi) $4.1 +(-4.1)
MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank: 7 Hits, Last modified: 5 months ago; - Triangle - If $x-1$ is a factor of $5x^2+10x-a$ then $a=$ - $n(B)$ - $n(A)$ - $\p... - None of these - The solution set of $x^2-7x+10=0$ is - $\{7,10\}$ - $\{2,5\}$ - $\{5,10\}$ - None of these - If a polynomial $R(x)$ is divided by $x-a
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01: 6 Hits, Last modified: 5 months ago; {2}]^{21}}\\ &= \frac{1}{i^{21}}=\frac{1}{(i^2)^{10}\cdot i} \\ &=\frac{1}{(-1)^{10}\cdot i}=\frac{1}{1 \cdot i}\\ &=\frac{1}{i}=\frac{1}{i}\times \fra... **Solutions** $\quad (7,9)+(3,-5)$ $=(7+3,9-5)=(10,4)$ </panel> <panel> **Question 7 ** Simplify... $=((5)(-3)-(-4)(-2),(5)(-2)+(-4)(-3))$ $=(-15-8,-10+12)=(-23,2)$ </panel> <panel> **Question 10 **
MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank: 3 Hits, Last modified: 5 months ago; ==== 1-b, 2-c, 3-c, 4-c, 5-d, 6-a, 7-d, 8-b, 9-a, 10-d, 11-a, 12-a, 13-b, 14-c, 15-b, 16-c, 17-b, 18-d... 5-b, 86-a, 87-c, 88-b, 89-a, 90-a, 91-a, 92-b, 93-c, 94-b, 95-d, 96-b, 97-a, 98-d, 99-a, 100-b, 101-d
Definitions: FSc Part 1 (Mathematics): PTB: 2 Hits, Last modified: 5 months ago; finite number of elements.\\ e.g. $A={2,4,6,8,...,100}$ * **I... ion.\\ e.g. $a+x, x-2y, ax+b$. ===== Chapters 09,10,11,12,13,14: Trigonometry ===== * **Trigonome
Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions: 2 Hits, Last modified: 5 months ago; Sargodha(2015)// * Find $n$, when $^{11}P_n=11.10.9$---// BISE Sargodha(2015), BISE Sargodha(2016) ... values of $n$ and $r$ when $^nC_r=35$ and $^nP_r=210$ ---// FBISE(2016), BISE Lahore(2017)// * If $... d $r$ when $^{n-1}C_{r-1}:^nC_r:^{n+1}C_{r+1}=3:6:10$ ---// FBISE(2017)// * Show that sum of $n$ $A
Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions: 2 Hits, Last modified: 5 months ago; ====== Ch 10: Trigonometric Identities ====== <list-group> * Prove that (without calculator) $\sin 10^{\circ}\sin 30^{\circ}\sin 50^{\circ}\sin 70^{\ci... * Using without table or calculator find $tan(1110^{\circ})$ --- // BISE Sargodha(2015), BISE Gujraw
Ch 02: Functions and Groups @fsc-part1-ptb:important-questions: 1 Hits, Last modified: 5 months ago; {1,2,3,4\}$, $B=\{3,4,5,6,7,8\}$ and $C=\{5,6,7,9,10\}$ then verify associativity of union --- // B
Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions: 1 Hits, Last modified: 5 months ago; quations ====== <list-group> * Reduce $x^{-2}-10=3x^{-1}$ to quadratic form --- //BISE Gujrawala(
Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions: 1 Hits, Last modified: 5 months ago; $x$ in the following expansion $(x-\frac{2}{x})^{10}$ --- // BISE Sargodha(2015), BISE Gujranwala(20
Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02: 1 Hits, Last modified: 5 months ago; , & x_2=c\end{align} </panel> <panel> **Question 10** Prove that all $2\times 2$ non-singular matrice