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Cos3 theta -sin3 theta/costheta+sintheta can I get the answer thanks for u r explanation for the last sum

Cos3 theta -sin3 theta/costheta+sintheta can I get the answer thanks for u r explanation for the last sum

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Grade:8

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
in trigonometric questions, there can be many forms of a answer so please if this is a proving question also post this.
anyways I am solving it in my own way, for any specific requirement also post the RHS.
 
4 cos3A – 3 cosA + 3 sin A – 4 sin3A / (sinA + cos A)
 
= 4 (cos a – sina)(cos^2 a + sin^2 + sin a cosa) – 3 (cosa – sina) / sinA + cosA
 
= (cosa – sin a) (4 cos^2 a + 4sin^2 a + 4 sina cos a- 3) / (sina + cos a)
 

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