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Question 13, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... i\cos\theta\right)\\ &=r\sin(\theta+\varphi),\\ &\text{ where } \sin\varphi=\dfrac{3}{5}, \cos\varphi=\dfrac{4}{5} \text{ and } r=5.\end{align} =====Question 13(ii)=====
Question 5, Exercise 10.3
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... circ-40^\circ) \right)\sin {{20}^{\circ }} \quad \text{by using (1)}\\ &=-\dfrac{\sqrt{3}}{4}\left( \cos... +20^\circ)-\sin(40^\circ-20^\circ) \right) \quad \text{by using (2)}\\ &=\dfrac{\sqrt{3}}{8}\sin {{20}^{
Question 7, Exercise 10.2
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... \right)\left( 1 \right)\\ &=\cos 2\theta \quad \text{(By using double angle identity)}\\ &=\dfrac{1}{\... a \cos 2\alpha =R.H.S.\end{align} ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:so
Question 2, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... rac{\sqrt{2}+\sqrt{6}}{4}\end{align} ===Go to=== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p1|< Question 1]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 3, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... s \left( u+v \right)&=\frac{24}{25}\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p2|< Question 2]]</btn></text> <text align="right"><btn type="success">[[math-1
Question, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... alpha+\beta \right)&=\dfrac{33}{56}.\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p3|< Question 3]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 5, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... d black]{\tan(\alpha +\beta)=\dfrac{33}{16}.}$$ <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p4|< Question 4]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 6, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... ta -{{\cos }^{2}}\alpha \\ &=R.H.S.\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p5|< Question 5]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 7, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... tan \alpha +\tan \beta \\ &=R.H.S.\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p6|< Question 6]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 8, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... \right)}\\ &=R.H.S.\end{align} ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p7|< Question 7]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 9 and 10, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... -\sin \alpha \right)}\\ &=1=R.H.S.\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p8|< Question 8]]</btn></text> <text align="right"><btn type="success">[[math-1
Question11 and 12, Exercise 10.1
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... \gamma \cot \alpha =1.\end{align} ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-1-p9|< Question 9,10]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 2, Exercise 10.2
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... {\tan 2\theta=-\dfrac{120}{119}}$$ ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-2-p1|< Question 1]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 3, Exercise 10.2
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... theta }{2}=\dfrac{1}{\sqrt{5}}}$$ ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-2-p2|< Question 2]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 4 and 5, Exercise 10.2
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f Sum and Difference of Angles. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... os\dfrac{2\pi}{3}=-\dfrac{1}{2}}$$ ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit10:ex10-2-p3|< Question 3]]</btn></text> <text align="right"><btn type="success">[[math-1
Question 6, Exercise 10.2
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Question 2, Exercise 10.3
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Question 3, Exercise 10.3
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Question 2 and 3, Review Exercise 10
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Question 4 & 5, Review Exercise 10
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Question 6 & 7, Review Exercise 10
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Question 8 and 9, Exercise 10.2
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Question 1, Exercise 10.1
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Question 1, Exercise 10.2
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Question 1, Exercise 10.3
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Question 5, Exercise 10.3
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Question 1, Review Exercise 10
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Question 8 & 9, Review Exercise 10
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