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- Question 10, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... \tan \gamma - 1}{1 + \tan \gamma \cdot 1} \quad (\text{since } \tan \frac{\pi}{4} = 1) \\ & = \frac{\tan... \tan \gamma + 1}{1 - \tan \gamma \cdot 1} \quad (\text{since } \tan \frac{\pi}{4} = 1) \\ & = \frac{\tan
- Question 5 and 6, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... {align*}\boxed{\cos(\alpha+\beta)=\frac{16}{65}} \text{ and } \boxed{\cos(\alpha-\beta)=\frac{56}{65}}\e... a-\beta)=\frac{416}{87}}$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:so
- Question 11, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... \frac{\sin \alpha}{\cos \alpha} \\ & = -1 \quad \text{(if $\tan \alpha = -1$)} \end{align*} ===== Ques... a \\ & = R.H.S \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:so
- Question 8(i, ii & iii) Exercise 8.2
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. =====Question ... \frac{\theta}{2}}{2\cos^2 \frac{\theta}{2}}\quad \text(by \,using\, half\, angle\, identity)\\ &=\tan \f... RHS \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:so
- Question 8(xvi, xvii & xviii) Exercise 8.2
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. =====Question ... beta}{2}}{2-2 (1-2\sin^2 \frac{\beta}{2} )}\quad \text{by using half angle identity}\\ &= \dfrac{4\sin... &=\cos x\\ &=RHS \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:so
- Question 3(i, ii, iii, iv & v) Exercise 8.3
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. =====Questio 3(... in 7v + \sin v) \\ & = 2(\sin 7v - \sin v) \quad \text{(since \sin(-v) = -\sin v)}\\ & = LHS \end{align*... \\ &=RHS \end{align*} GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:so
- Question 1, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question ... ac{-\sqrt{3} - \frac{1}{\sqrt{3}}}{1 - 1} \quad (\text{undefined}) \end{align*} ===== Question 1(vi)===... )}{1 - (-1)(-1)} \\ & = \dfrac{-2}{1 - 1} \quad (\text{undefined}) \end{align*} \begin{align*} \tan (\al
- Question 2, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question ... }{\sqrt{3}-1}} \end{align*} GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p1|< Question 1 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 3, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question ... 2\sqrt{2}}. \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p2|< Question 2 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 4, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question ... t(2\pi\right). \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p3|< Question 3 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 7, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... frac{56}{33}. \end{align*} GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p5|< Question 5 & 6 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 8, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... &= \frac{63}{16}. \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p6|< Question 7 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 9, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question ... &= \frac{1}{7}. \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p7|< Question 8 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 12, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... d{align*} as required. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p10|< Question 11 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 13, Exercise 8.1
- undamental of Trigonometry. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. ===== Question... varphi = -\frac{\pi}{4} \). ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p11|< Question 12 ]]</btn></text> <text align="right"><btn type="success">[[math-1