prove that ( 1-sinA + cosA)^2 = 2(1+cosA) (1-sinA)
Answers
Answered by
0
Answer:
I assume that the angle a should be A. Then we wish to prove that
(1-sinA-cosA)^2=2(1-sinA)(1-cosA).
(1-sinA-cosA)^2=1–2(sinA+cosa)+(sina+cosA)^2=
1–2(sinA+cosA)+sinA^2+cosA^2+2(sinA*cosA)=
2(1-sinA-cosA+sinA*cosA)=2(1-sinA)(1-cosA).
Similar questions