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- Question 10, Exercise 8.1
- \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... n y \\ & = R.H.S. \end{align*} ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p8|< Question 9 ]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 5 and 6, Exercise 8.1
- {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:sol:unit08:ex8-1-p4|< Question 4 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p6|Question 7 >]]</btn></text>
- Question 11, Exercise 8.1
- \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:sol:unit08:ex8-1-p9|< Question 10 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p11|Question 12 >]]</btn></text
- Question 8(i, ii & iii) Exercise 8.2
- \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:sol:unit08:ex8-2-p5|< Question 7 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-2-p7|Question 8(iv, v & vi) >]]</
- Question 8(xvi, xvii & xviii) Exercise 8.2
- 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... :ex8-2-p10|< Question 8(xiii, xiv & xv) ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-2-p12|Question 8(xix, xx, xxi & x
- Question 3(i, ii, iii, iv & v) Exercise 8.3
- 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:sol:unit08:ex8-3-p4|< Question 2 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-3-p6|Question 3(vi, vii, viii, ix
- Question 1, Exercise 8.1
- 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... = 0 = \tan \pi \end{align*} ====Go to ==== <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p2|Question 2 >]]</btn></text>
- Question 2, Exercise 8.1
- }{\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-11-nbf:sol:unit08:ex8-1-p3|Question 3 >]]</btn></text>
- Question 3, Exercise 8.1
- 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-11-nbf:sol:unit08:ex8-1-p4|Question 4 >]]</btn></text>
- Question 4, Exercise 8.1
- 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-11-nbf:sol:unit08:ex8-1-p5|Question 5 & 6 >]]</btn></text>
- Question 7, Exercise 8.1
- 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-11-nbf:sol:unit08:ex8-1-p7|Question 8 >]]</btn></text>
- Question 8, Exercise 8.1
- &= \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-11-nbf:sol:unit08:ex8-1-p8|Question 9 >]]</btn></text>
- Question 9, Exercise 8.1
- &= \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-11-nbf:sol:unit08:ex8-1-p9|Question 10 >]]</btn></text>
- Question 12, Exercise 8.1
- 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-11-nbf:sol:unit08:ex8-1-p12|Question 13 >]]</btn></text>
- Question 13, Exercise 8.1
- 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-11-nbf:sol:unit08:ex8-1-p13|Question 14 >]]</btn></text>