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Question 1, Exercise 1.3 @math-11-nbf:sol:unit01
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ion 1(i)==== Factorize the polynomial into linear functions: $z^{2}+169$. **Solution.** \begin{align} & z... on 1(ii)==== Factorize the polynomial into linear functions: $2 z^{2}+18$. **Solution.** \begin{align} & 2... n 1(iii)==== Factorize the polynomial into linear functions: $3 z^{2}+363$. **Solution.** \begin{align} ... on 1(iv)==== Factorize the polynomial into linear functions: $z^{2}+\dfrac{3}{25}$. **Solution.** \begin{a
Question 1,Review Exercise @math-11-nbf:sol:unit09
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on 1 of Review Exercise of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... llapse> ii. The exact value of the trigonometric function $\tan (-15 \pi)=$\\ * (a) $ 0$\\ * (b) $-1$\\ *... ue">%%(b)%%: $\sin 4B$</collapse> x. Whether the function $f(x)=\frac{\sin^3 x}{x^2+\tan x}$ is:\\ * (a) ev... a)%%: $10 \pi$</collapse> xii. The trogonometric function $y=cosec x$ meet at $x=$\\ * (a) $30^{\circ}$ \\\
Question 4(i-iv), Exercise 9.1 @math-11-nbf:sol:unit09
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4(i-iv) of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... stan. =====Question 4(i)===== Check whether the function is odd or even: $y=\sin x+x \cdot \cos x$ ** Sol... \cos x) \\ & = -f(x) \end{align*} Thus the given function is odd. =====Question 4(ii)===== Check whether the function is odd or even: $y=x^{3} \cdot \sin x \cdot \cos
Question 4(v-viii), Exercise 9.1 @math-11-nbf:sol:unit09
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v-viii) of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... stan. =====Question 4(v)===== Check whether the function is odd or even: $y=\dfrac{\sin ^{2} x}{x+\tan x}$... x + \tan x}\\ &=-y(x)\end{align*} Thus, the given function is odd. =====Question 4(vi)===== Check whether the function is odd or even: $y=\dfrac{\tan x-\sin x}{\sin^3 x
Question 5(vi-x), Exercise 9.1 @math-11-nbf:sol:unit09
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5(vi-x) of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... =Question 5(v)===== Draw the graph of each of the function: $y=2 \operatorname{Sin} 3 x$ ** Solution. ** ... Question 5(vi)===== Draw the graph of each of the function: $y=3 \operatorname{Cos} x$ ** Solution. ** ==... uestion 5(vii)===== Draw the graph of each of the function: $y=\operatorname{Cos}^{2} x$ ** Solution. **
Unit 09: Trigonometric Functions
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====== Unit 09: Trigonometric Functions ====== This is a ninth unit of the book "Model Textbook of Mathemati... * Find the domain and range of the trigonometric functions. * Discuss even and odd functions, and periodicity of trigonometric functions. * Find the maximum and minimum value of a given function of
Question 2(i, ii, iii, iv and v) Exercise 8.3 @math-11-nbf:sol:unit08
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Rewrite the sum or difference as a product of two function: $\sin 70^{\circ} + \sin 30^{\circ}$ ** Solution... Rewrite the sum or difference as a product of two function: $\sin 76^{\circ} - \sin 14^{\circ}$ ** Solution... Rewrite the sum or difference as a product of two function: $\cos 58^{\circ} + \cos 12^{\circ}$ ** Solution... Rewrite the sum or difference as a product of two function: $\cos \frac{p-q}{2} + \cos \frac{p+q}{2}$ ** So
Question 1, Exercise 9.1 @math-11-nbf:sol:unit09
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stion 1 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... e maximum and minimum values of the trigonometric function: $y=2-2 \operatorname{Cos} \theta$ ** Solution. ... e maximum and minimum values of the trigonometric function: $y=\dfrac{2}{3}-\dfrac{1}{2} \operatorname{Sin} ... e maximum and minimum values of the trigonometric function: $y=\dfrac{1}{5}-2 \operatorname{Sin}(3 \theta-7)
Question 2, Exercise 9.1 @math-11-nbf:sol:unit09
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stion 2 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... nd minimum values of the reciprocal trigonometric function: $y=\dfrac{1}{4+3 \operatorname{Sin} \theta}$ **... nd minimum values of the reciprocal trigonometric function: $y=\dfrac{1}{\frac{1}{2}-5 \operatorname{Cos} \t... nd minimum values of the reciprocal trigonometric function: $y=\dfrac{1}{\frac{1}{3}-4 \sin (2 \theta-5)}$
Question 5(i-v), Exercise 9.1 @math-11-nbf:sol:unit09
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5(i-v) of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... =Question 5(i)===== Draw the graph of each of the function: $y=2 \operatorname{Sin} x$ ** Solution. ** =... Question 5(ii)===== Draw the graph of each of the function: $y=2 \operatorname{Cos} 3 x$ ** Solution. ** ... uestion 5(iii)===== Draw the graph of each of the function: $y=2 \operatorname{Tan} 2 x$ ** Solution. **
Question 10, Exercise 9.1 @math-11-nbf:sol:unit09
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tion 10 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f... e value of $k$,\\ c. The amplitude of the voltage function,\\ d. Model the voltage with an appropriate transformed Sine function. ** Solution. ** ====Go to ==== <text align
Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
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ise consists of the question related to factorial function. The book misses the definition of the factorial function, which is defined as follows: <callout type="prim
Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
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ise consists of the question related to factorial function. The book misses the definition of the factorial function, which is defined as follows: <callout type="prim
Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
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ise consists of the question related to factorial function. **Question 1(i-v).** Prove the following for $
Question 3, Exercise 9.1 @math-11-nbf:sol:unit09
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stion 3 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics f
Question 6, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 7 & 8, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 9, Exercise 9.1 @math-11-nbf:sol:unit09
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Question 2 and 3,Review Exercise @math-11-nbf:sol:unit09
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Question 4, Review Exercise @math-11-nbf:sol:unit09
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Question 4, Review Exercise @math-11-nbf:sol:unit09
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Question 7, Review Exercise @math-11-nbf:sol:unit09
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Question 8, Review Exercise @math-11-nbf:sol:unit09
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Question 9, Review Exercise @math-11-nbf:sol:unit09
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