please tell answers
Answers
sin3A = 3sinA - 4sin³A
cos 3A = 4cos³A - 3cosA
so, by simplification the result comes out to be
3-4sin²A - 4cos²A +3 =⟩ 6-4(sin²A+cos²A) =⟩ 6-4 =⟩ 2
hope it helped u a lot
please mark it as the brainliest answer
Answer:
Answer is option c) 2
Step-by-step explanation:
we know that,
Sin3A = 3SinA - 4Sin³A => SinA(3 - 4Sin²A) --------------------(1)
Cos3A = 4Cos³A - 3CosA => Cos A(4Cos²A - 3) ----------------(2)
Now lets substitute equations (1) And (2) in the question,
=> SinA(3 - 4Sin²A)/Sin A - Cos A(4Cos²A - 3)/CosA
here, SinA/SinA and CosA/CosA will get cancelled.
=> 3 - 4Sin²A - (4Cos²A - 3)
=> 3 - 4Sin²A - 4Cos²A + 3
=> 6 - 4Sin²A - 4Cos²A
=> 6 - 4( Sin²A + Cos²A )
Because Sin²A + Cos²A = 1
=> 6 - 4(1)
=> 6 - 4
=> 2.
therefore, 2 is the required answer.
REQUEST:
If you like the answer and explanation, please mark it as brainliest.