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- Question 1, Exercise 9.1
- Question 2, Exercise 9.1
- Question 3, Exercise 9.1
- Question 4(i-iv), Exercise 9.1
- Question 4(v-viii), Exercise 9.1
- Question 5(i-v), Exercise 9.1
- Question 5(vi-x), Exercise 9.1
- Question 6, Exercise 9.1
- Question 7 & 8, Exercise 9.1
- Question 9, Exercise 9.1
- Question 10, Exercise 9.1
- Question 2 and 3,Review Exercise
- Question 4, Review Exercise
- Question 1,Review Exercise
- Question 2 and 3, Review Exercise
- Question 4, Review Exercise
- Question 5 and 6, Review Exercise
- Question 7, Review Exercise
- Question 8, Review Exercise
- Question 9, Review Exercise
- Question 10(i-v), Review Exercise
- Question 10(vi-x), Review Exercise
- Question 10(xi-xv), Review Exercise
Fulltext results:
- Question 9, Exercise 9.1
- ====== Question 9, Exercise 9.1 ====== Solutions of Question 9 of Exercise 9.1 of Unit 09: Trigonometri... d, Islamabad, Pakistan. =====Question 9(i)===== Solve graphically: $\sin x=\cos x$ ** Solution. ** =====Question 9(ii)===== Solve graphically: $\cos x=x$ ** Solution. ** =====Questio
- Question 6, Exercise 9.1
- ====== Question 6, Exercise 9.1 ====== Solutions of Question 6 of Exercise 9.1 of Unit 09: Trigonometri... 6(i)===== Find the period: $y=6 \sec(2 x-3)$ ** Solution. ** Since period of the $\sec$ is $2\pi$, t... 6(ii)===== Find the period: $y=\cos (5 x+4)$ ** Solution. ** Since period of the $\cos$ is $2\pi$, t... d the period: $y=\cot 4 x+\sin \frac{5 x}{2}$ ** Solution. ** FIXME(unable to solve) =====Question 6(
- Question 3, Exercise 9.1
- ====== Question 3, Exercise 9.1 ====== Solutions of Question 3 of Exercise 9.1 of Unit 09: Trigonometri... (i)===== Find domain and range: $y=7 \cos 4x$ ** Solution. ** AS \begin{align*} & -1\leq \cos 4x \le... = Find domain and range: $y=\cos \frac{x}{3}$ ** Solution. ** AS \begin{align*} & -1\leq \cos \frac{... Find domain and range: $y=\sin \frac{2 x}{3}$ ** Solution. ** AS \begin{align*} & -1 \leq \sin \frac
- Question 5(vi-x), Exercise 9.1
- ====== Question 5(vi-x), Exercise 9.1 ====== Solutions of Question 5(vi-x) of Exercise 9.1 of Unit 09: ... of the function: $y=2 \operatorname{Sin} 3 x$ ** Solution. ** =====Question 5(vi)===== Draw the grap... h of the function: $y=3 \operatorname{Cos} x$ ** Solution. ** =====Question 5(vii)===== Draw the gra... of the function: $y=\operatorname{Cos}^{2} x$ ** Solution. ** =====Question 5(viii)===== Draw the gr
- Question 2, Exercise 9.1
- ====== Question 2, Exercise 9.1 ====== Solutions of Question 2 of Exercise 9.1 of Unit 09: Trigonometri... $y=\dfrac{1}{4+3 \operatorname{Sin} \theta}$ ** Solution. ** We know \begin{align*} -1 \leq \operato... {1}{\frac{1}{2}-5 \operatorname{Cos} \theta}$ ** Solution. ** {{ :math-11-nbf:sol:unit09:math-11-nbf-ex9-1-q2_ii_.png?400 |Graph of y}} **From the graph,
- Question 10(i-v), Review Exercise
- ====== Question 10(i-v), Review Exercise ====== Solutions of Question 10(i-v) of Review Exercise of Uni... amabad, Pakistan. =====Question 10(i)===== ** Solution. ** =====Question 10(ii)===== ** Solution. ** =====Question 10(iii)===== ** Solution. ** =====Question 10(iv)===== ** Solution. **
- Question 10(vi-x), Review Exercise
- ====== Question 10(vi-x), Review Exercise ====== Solutions of Question 10(vi-x) of Review Exercise of U... mabad, Pakistan. =====Question 10(vi)===== ** Solution. ** =====Question 10(vii)===== ** Solution. ** =====Question 10(viii)===== ** Solution. ** =====Question 10(ix)===== ** Solution
- Question 4(i-iv), Exercise 9.1
- ====== Question 4(i-iv), Exercise 9.1 ====== Solutions of Question 4(i-iv) of Exercise 9.1 of Unit 09: ... ion is odd or even: $y=\sin x+x \cdot \cos x$ ** Solution. ** Consider $f(x)=\sin x+x \cdot \cos x$. ... or even: $y=x^{3} \cdot \sin x \cdot \cos x$ ** Solution. ** Consider $f(x)=x^{3} \cdot \sin x \cdot... ven: $y=\dfrac{x^{2} \cdot \tan x}{x+\sin x}$ ** Solution. ** Consider \[y = \frac{x^2 \cdot \tan x}
- Question 4(v-viii), Exercise 9.1
- ====== Question 4(v-viii), Exercise 9.1 ====== Solutions of Question 4(v-viii) of Exercise 9.1 of Unit ... dd or even: $y=\dfrac{\sin ^{2} x}{x+\tan x}$ ** Solution. ** Consider \[y = \frac{\sin^2 x}{x + \ta... or even: $y=\dfrac{\tan x-\sin x}{\sin^3 x}$ ** Solution. ** Consider \[y = \frac{\tan x - \sin x}{... is odd or even: $y=\dfrac{\sec x}{x+\tan x}$ ** Solution. ** Consider \[y = \frac{\tan x - \sin x}{
- Question 5(i-v), Exercise 9.1
- ====== Question 5(i-v), Exercise 9.1 ====== Solutions of Question 5(i-v) of Exercise 9.1 of Unit 09: Tr... h of the function: $y=2 \operatorname{Sin} x$ ** Solution. ** =====Question 5(ii)===== Draw the gra... of the function: $y=2 \operatorname{Cos} 3 x$ ** Solution. ** =====Question 5(iii)===== Draw the gra... of the function: $y=2 \operatorname{Tan} 2 x$ ** Solution. ** =====Question 5(iv)===== Draw the grap
- Question 2 and 3, Review Exercise
- ====== Question 2 and 3, Review Exercise ====== Solutions of Question 2 and 3 of Review Exercise of Uni... cos \theta+ \sin \theta=\sqrt{2} \cos \theta$ ** Solution. ** Given $$\cos \theta -\sin \theta=\sqrt{... cot x}{\sin x \cos x} = \sec^2 x - \csc^2 x$ ** Solution. ** \begin{align*} LHS & = \dfrac{\tan x - \... {\sec^2 x + \tan^2 x} = \sec^2 x - \tan^2 x$ ** Solution. ** \begin{align*} LHS & = \dfrac{\sec^4 x
- Question 10(xi-xv), Review Exercise
- ====== Question 10(xi-xv), Review Exercise ====== Solutions of Question 10(xi-xv) of Review Exercise of... mabad, Pakistan. =====Question 10(xi)===== ** Solution. ** =====Question 10(xii)===== ** Solution. ** =====Question 10(xiii)===== ** Solution. ** =====Question 10(xiv)===== ** Solution.
- Question 1, Exercise 9.1
- ====== Question 1, Exercise 9.1 ====== Solutions of Question 1 of Exercise 9.1 of Unit 09: Trigonometri... c function: $y=2-2 \operatorname{Cos} \theta$ ** Solution. ** We know \begin{align*} -1 \leq \operato... 2}{3}-\dfrac{1}{2} \operatorname{Sin} \theta$ ** Solution. ** We know \begin{align*} -1 \leq \operato... dfrac{1}{5}-2 \operatorname{Sin}(3 \theta-7)$ ** Solution. ** We know \begin{align*} -1 \leq \operato
- Question 7 & 8, Exercise 9.1
- ====== Question 7 & 8, Exercise 9.1 ====== Solutions of Question 7 & 8 of Exercise 9.1 of Unit 09: Trig... e{Sin} 2 x$ in $[0,2 \pi]$ on the same scale. ** Solution. ** =====Question 8===== Draw the graph... e{Cos} 2 x$ in $[0,2 \pi]$ on the same scale. ** Solution. ** ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit09:ex9-1-p8|< Question 6 ]]</btn></text> <tex
- Question 5 and 6, Review Exercise
- ====== Question 5 and 6, Review Exercise ====== Solutions of Question 5 and 6 of Review Exercise of Uni... Islamabad, Pakistan. =====Question 5===== ** Solution. ** =====Question 6===== ** Solution. ** ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit09:Re-ex-p3|< Question 4 ]]</btn></text> <tex