if 3sinthita+5costhita =5,prove that(5sinthita-3costhita)=+and-3

1.	if 3sinthita+5costhita =5,prove that(5sinthita-3costhita)=+and-3
Answer» =3 sin theta + 5 cos theta= 5Now by squaring both side= 97 squared theta + 25 cos theta + 30 sin theta cos theta= 25= 9 ( 1 - cos²theta) + 25(1-sin² theta)+30 cos theta into sin theta = 25= 9 - 9 cos squared theta + 25 - 25 sin square theta + 30 sin theta into cos theta= 25= 9 + 25 - ( 9 cos square theta + 25 sin square theta minus 30 sin theta into cos theta)=25= -(9 cos square theta + 25 sin square theta minus 30 sin theta into cos theta) = 25-34= (3 cos theta - 5 sin theta )²=9= 3 cos theta- sin theta=+,-3

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