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- Question 1, Exercise 10.1
- Question 2, Exercise 10.1
- Question 3, Exercise 10.1
- Question, Exercise 10.1
- Question 5, Exercise 10.1
- Question 6, Exercise 10.1
- Question 7, Exercise 10.1
- Question 8, Exercise 10.1
- Question 9 and 10, Exercise 10.1
- Question11 and 12, Exercise 10.1
- Question 13, Exercise 10.1
- Question 1, Exercise 10.2
- Question 2, Exercise 10.2
- Question 3, Exercise 10.2
- Question 4 and 5, Exercise 10.2
- Question 6, Exercise 10.2
- Question 7, Exercise 10.2
- Question 8 and 9, Exercise 10.2
- Question 1, Exercise 10.3
- Question 2, Exercise 10.3
- Question 3, Exercise 10.3
- Question 5, Exercise 10.3
- Question 5, Exercise 10.3
- Question 1, Review Exercise 10
- Question 2 and 3, Review Exercise 10
- Question 4 & 5, Review Exercise 10
- Question 6 & 7, Review Exercise 10
- Question 8 & 9, Review Exercise 10
Fulltext results:
- Question 7, Exercise 10.2
- ====== Question 7, Exercise 10.2 ====== Solutions of Question 7 of Exercise 10.2 of Unit 10: Trigonometric Identities of Su... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Prove the identity ${{\cos }^{4}}\theta... =\dfrac{1}{\sec 2\theta }=R.H.S.\end{align} =====Question 7(ii)===== Prove the identity $\tan \dfrac{\theta
- Question 1, Exercise 10.1
- ====== Question 1, Exercise 10.1 ====== Solutions of Question 1 of Exercise 10.1 of Unit 10: Trigonometric Identities of S... PTBB) Peshawar, Pakistan. There are four parts in Question 1. ===== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}\co
- Question 2, Exercise 10.1
- ====== Question 2, Exercise 10.1 ====== Solutions of Question 2 of Exercise 10.1 of Unit 10: Trigonometric Identities of S... ok Board (KPTB or KPTBB) Peshawar, Pakistan. ====Question 2(i)==== Evaluate exactly: $\sin \dfrac{\pi }{12... \ &=\frac{\sqrt{6}-\sqrt{2}}{4}. \end{align} ===Question 2(ii)=== Evaluate exactly:$\tan {{75}^{\circ }}$
- Question 6, Exercise 10.2
- ====== Question 6, Exercise 10.2 ====== Solutions of Question 6 of Exercise 10.2 of Unit 10: Trigonometric Identities of Su... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6(i)===== Use the half angle identities to evalua... }=\dfrac{\sqrt{2+\sqrt{3}}}{2}\end{align} =====Question 6(ii)===== Use the half angle identities to evalu
- Question 3, Exercise 10.1
- ====== Question 3, Exercise 10.1 ====== Solutions of Question 3 of Exercise 10.1 of Unit 10: Trigonometric Identities of S... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3(i)===== If $\sin u=\dfrac{3}{5}$ and $\sin v=\d... 5}\\ \cos \left( u+v \right)&=0\end{align} =====Question 3(ii)===== If $\sin u=\dfrac{3}{5}$ and $\sin v=
- Question 8, Exercise 10.1
- ====== Question 8, Exercise 10.1 ====== Solutions of Question 8 of Exercise 10.1 of Unit 10: Trigonometric Identities of S... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8(i)===== Prove that: $\tan \left( \dfrac{\pi }... \cos\theta -\sin\theta }=R.H.S.\end{align} =====Question 8(ii)===== Prove that: $\tan \left( \dfrac{\pi
- Question 1, Exercise 10.3
- ====== Question 1, Exercise 10.3 ====== Solutions of Question 1 of Exercise 10.3 of Unit 10: Trigonometric Identities of S... PTBB) Peshawar, Pakistan. There are four parts in Question 1. =====Question 1(i)===== Express the product as sum or difference $2\sin 6x\sin x$. ====Solution==== We
- Question 2, Exercise 10.3
- ====== Question 2, Exercise 10.3 ====== Solutions of Question 2 of Exercise 10.3 of Unit 10: Trigonometric Identities of Su... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Convert the sum or difference as produc... sin {{40}^{\circ }}\cos {{3}^{\circ }}.$$ =====Question 2(ii)===== Convert the sum or difference as produ
- Question, Exercise 10.1
- ====== Question, Exercise 10.1====== Solutions of Question 4 of Exercise 10.1 of Unit 10: Trigonometric Identities of Sum ... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4(i)===== If $\sin \alpha =-\dfrac{4}{5}$ and $\... a+\beta \right)&=\frac{33}{65}.\end{align} =====Question 4(ii)===== If $\sin \alpha =-\dfrac{4}{5}$ and $\
- Question 5, Exercise 10.1
- ====== Question 5, Exercise 10.1 ====== Solutions of Question 5 of Exercise 10.1 of Unit 10: Trigonometric Identities of S... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== If $\tan \alpha =\dfrac{3}{4}$, $\sec ... ack]{\sin(\alpha +\beta)=\dfrac{33}{65}.}$$ =====Question 5(ii)===== If $\tan \alpha =\dfrac{3}{4}$, $\sec
- Question 13, Exercise 10.1
- ====== Question 13, Exercise 10.1 ====== Solutions of Question 13 of Exercise 10.1 of Unit 10: Trigonometric Identities of... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 13(i)===== Express each of the following in the f... i=\dfrac{4}{5} \text{ and } r=5.\end{align} =====Question 13(ii)===== Express each of the following in the
- Question 2, Exercise 10.2
- ====== Question 2, Exercise 10.2 ====== Solutions of Question 2 of Exercise 10.2 of Unit 10: Trigonometric Identities of Su... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== If $\sin \theta =\dfrac{5}{13}$ and ter... black]{\sin 2\theta=-\dfrac{120}{169}.}$$ =====Question 2(ii)===== If $\sin \theta =\dfrac{5}{13}$ and te
- Question 4 and 5, Exercise 10.2
- ====== Question 4 and 5, Exercise 10.2 ====== Solutions of Question 4 and 5 of Exercise 10.2 of Unit 10: Trigonometric Iden... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4===== If $\cos \theta =-\dfrac{3}{7}$ and termin... sin\dfrac{\theta}{2}=-\sqrt{\dfrac{5}{7}}}$$ =====Question 5(i)===== Use double angle identities to evaluate
- Question 8 and 9, Exercise 10.2
- ====== Question 8 and 9, Exercise 10.2 ====== Solutions of Question 8 and 9 of Exercise 10.2 of Unit 10: Trigonometric Iden... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8===== Write ${{\cos }^{4}}\theta $ in term of fi... 2}\cos 2\theta +\dfrac{1}{8}\cos 4\theta}$$ =====Question 9(i)===== Prove the identity $\sin 4\theta =8\sin
- Question 5, Exercise 10.3
- ====== Question 5, Exercise 10.3 ====== Solutions of Question 5 of Exercise 10.3 of Unit 10: Trigonometric Identities of Su... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== Prove that $$\cos {{20}^{\circ }}\cos {... rc }}\\ &=\dfrac{1}{16}=R.H.S.\end{align} =====Question 5(ii)===== Prove the identity $$\sin \dfrac{\pi }