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Can you explain the answer of this question below:
sin(60° + A) cos(30° – B) + cos(60° + A) sin(30° – B) is equal to
  • A:
    sin(A + B)
  • B:
    sin(A – B)
  • C:
    cos(A – B)
  • D:
    cos(A + B)
The answer is c.
Verified Answer
Can you explain the answer of this question below:sin(60° + A) co...
L.H.S. = sin(60+A)cos(30−B)+cos(60+A)sin(30−B)        
= sin[(60+A)+(30−B)]            (Using, sin(A+B)sinAcosB+cosAsinB)            
= sin(90+A−B)            
= sin(90+(A−B))            
= cos(A−B)            (Using, sin(90+θ)=cosθ)       = R.H.S.Hence Proved.
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Most Upvoted Answer
Can you explain the answer of this question below:sin(60° + A) co...
Since, sinAcosB+cosAsinB =sin(A+B) Therefore, sin(60+A)cos(30-B)+cos(60+A)sin(30-B)=sin(60+A+30-B) =sin[90+(A-B)] =cos(A-B). {as sin(90+n)=cosn} I HOPE IT WILL HELP YOU
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Can you explain the answer of this question below:sin(60° + A) co...
Sin(60+a)cos(30-b)+ cos(60+a)sin(30-b) =sin(60+a+30-b) sin(a)cos(b) + cos(a)sin(b)= sin(a+b) =sin(90+《a-b》) =cos(a-b)
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Can you explain the answer of this question below:sin(60° + A) cos(30° – B) + cos(60° + A) sin(30° – B) is equal toA:sin(A + B)B:sin(A – B)C:cos(A – B)D:cos(A + B)The answer is c.
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Can you explain the answer of this question below:sin(60° + A) cos(30° – B) + cos(60° + A) sin(30° – B) is equal toA:sin(A + B)B:sin(A – B)C:cos(A – B)D:cos(A + B)The answer is c. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Can you explain the answer of this question below:sin(60° + A) cos(30° – B) + cos(60° + A) sin(30° – B) is equal toA:sin(A + B)B:sin(A – B)C:cos(A – B)D:cos(A + B)The answer is c. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:sin(60° + A) cos(30° – B) + cos(60° + A) sin(30° – B) is equal toA:sin(A + B)B:sin(A – B)C:cos(A – B)D:cos(A + B)The answer is c..
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