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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
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- Question 8 & 9, Review Exercise 10
- ====== Question 8 & 9, Review Exercise 10 ====== Solutions of Question 8 & 9 of Review Exercise 10 of Unit 10: Trigonometri... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8===== Prove the identity $\sin \left( \dfrac{\pi... =\dfrac{\cos 2\theta }{2}=R.H.S.\end{align} =====Question 9(i)===== Prove that $\dfrac{{{\sin }^{2}}\left(
- Question 6 & 7, Review Exercise 10
- ====== Question 6 & 7, Review Exercise 10 ====== Solutions of Question 6 & 7 of Review Exercise 10 of Unit 10: Trigonometri... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6===== Prove the identity $\cos 4\theta =1-8{{\si... heta {{\cos }^{2}}\theta =R.H.S.\end{align} =====Question 7===== Prove the identity $\sin 6x\sin x+\cos 4x\
- Question 4 & 5, Review Exercise 10
- ====== Question 4 & 5, Review Exercise 10 ====== Solutions of Question 4 & 5 of Review Exercise 10 of Unit 10: Trigonometri... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4===== Prove the identity ${{\sin }^{2}}\dfrac{\t... }^{2}}\dfrac{\theta }{2}=L.H.S.\end{align} =====Question 5===== Prove the identity $\tan \theta \tan \dfra
- Question 1, Review Exercise 10
- ====== Question 1, Review Exercise 10 ====== Solutions of Question 1 of Review Exercise 10 of Unit 10: Trigonometric Ident... Board (KPTB or KPTBB) Peshawar, Pakistan. ===== Question 1 ===== Chose the correct option. i. $\cos ... text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit10:re-ex10-p2|Question 2 & 3 >]]</btn></text>
- Question 2 and 3, Review Exercise 10
- ====== Question 2 and 3, Review Exercise 10 ====== Solutions of Question 2 and 3 of Review Exercise 10 of Unit 10: Trigonom... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Prove the identity $\dfrac{2\sin \theta \s... tan \theta \tan 2\theta =R.H.S.\end{align} =====Question 3===== Prove the identity $\dfrac{\sin 10a-\sin 4
- 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 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 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 }{
- 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 }
- Question 3, Exercise 10.3
- ====== Question 3, Exercise 10.3 ====== Solutions of Question 3 of Exercise 10.3 of Unit 10: Trigonometric Identities of Su... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3(i)===== Prove that $$\dfrac{\cos {{75}^{\circ }... 2}}{\frac{1}{2}}=\sqrt{3}=R.H.S.\end{align} =====Question 3(ii)===== Prove that $$\dfrac{\sin {{135}^{\circ
- 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 }}.$$ =====Question 2(ii)===== Convert the sum or difference as produ
- Question 1, Exercise 10.3
- ====== Question 1, Exercise 10.3 ====== Solutions of Question 1 of Exercise 10.3 of Unit 10: Trigonometric Identities of S... PTBB) Peshawar, Pakistan. There are four parts in Question 1. =====Question 1(i)===== Express the product as sum or difference $2\sin 6x\sin x$. ====Solution==== We
- Question 8 and 9, Exercise 10.2
- ====== Question 8 and 9, Exercise 10.2 ====== Solutions of Question 8 and 9 of Exercise 10.2 of Unit 10: Trigonometric Iden... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8===== Write ${{\cos }^{4}}\theta $ in term of fi... 2}\cos 2\theta +\dfrac{1}{8}\cos 4\theta}$$ =====Question 9(i)===== Prove the identity $\sin 4\theta =8\sin
- Question 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 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