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15. Trigonometric, or Circular, Functions
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Q17 of 113 Page 547

If, where

, find the values of


(i) sin (x + y)


(ii) cos (x + y)


(iii) tan (x – y)


,

Here we will find values of cosx and cosy




(i) sin(x + y) = sinx.cosy + cosx.siny



(ii)cos(x + y) = cosx.cosy + sinx.siny



(iii)Here first we will calculate value of tanx and tany,




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15

If x and y are acute such that , prove that

16

If x and y are acute angles such that , prove that .

18

If , where , find the values of

(i) sin (x + y)


(ii) cos (x – y)


(iii) tan (x + y)


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Prove that

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(ii)


(iii)


(iv)


Questions · 113
15. Trigonometric, or Circular, Functions
1 2 3 4 5 6 7 8 A 8 B 8 C 8 D 8 E 8 F 9 9 9 9 9 9 10 10 B 10 C 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 A 27 B 27 1 A 1 1 C 2 A 2 2 3 A 3 3 4 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 A 18 18 C 18 D 19 A 19 B 20 21 1 2 3 4 5 6 7 8 9 10
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