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Cos(A B) sin(C D)=cos(A-B) sin(C-D). Show that cotA cotB cotC = cotD?
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Cos(A B) sin(C D)=cos(A-B) sin(C-D). Show that cotA cotB cotC = cotD?
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⟹cos (a+b) sin (c+d) = cos (a−b) sin (c−d) ⟹ cos ⁡(a+b) sin ⁡(c+d) = cos ⁡(a−b) sin⁡ (c−d)
cos (a+b) cos (a−b) = sin (c−d) sin (c+d) ⟹ cos⁡ (a+b) cos ⁡(a−b) = sin⁡ (c−d) sin⁡ (c+d)
 Using Componendo and Dividendo we have :- 
⟹cos (a+b) + cos (a−b) cos (a+b) − cos (a−b) = sin (c−d) + sin (c+d) sin (c−d) − sin (c+d) ⟹ cos ⁡(a+b) + cos ⁡(a−b) cos⁡ (a+b)−cos⁡ (a−b) = sin ⁡(c−d) + sin ⁡(c+d) sin⁡ (c−d) − sin⁡ (c+d)
⟹2cos a cos b  2sin a  sin b = 2sin c cos d 2cos c  sin d⟹2 cos ⁡a  cos ⁡b 2sin⁡ a sin⁡b = 2sin ⁡c cos ⁡d 2cos ⁡c sin ⁡d
⟹cot a cotb=tan c cot d⟹cot ⁡a cot ⁡b = tan ⁡c cot ⁡d
⟹cot a cot b cot c=cot d
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Cos(A B) sin(C D)=cos(A-B) sin(C-D). Show that cotA cotB cotC = cotD?
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Cos(A B) sin(C D)=cos(A-B) sin(C-D). Show that cotA cotB cotC = cotD? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Cos(A B) sin(C D)=cos(A-B) sin(C-D). Show that cotA cotB cotC = cotD? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cos(A B) sin(C D)=cos(A-B) sin(C-D). Show that cotA cotB cotC = cotD?.
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