ICSE Class 10 Answered
if cos A + sin A=
cos A
show that cos A-sin A= sin A
cos A
show that cos A-sin A= sin A
Asked by shivasanthosh0804 | 23 Jan, 2019, 06:18: PM
Expert Answer
cos A + sin A= √2 cos A
(cos A + sin A)2 = 2 cos2 A
cos2 A + sin2 A + 2sinA cosA = 2cos2 A
2sinA cosA = 2cos2 A - cos2 A - sin2 A
2sinA cosA = cos2 A - sin2 A
cos2 A - sin2 A - 2sinA cosA = 0
cos2 A - sin2 A - 2sinA cosA + 2sin2 A = 2sin2 A
sin2 A + cos2 A - 2sinA cosA = 2sin2 A
(cos A - sin A)2 = 2sin2 A
cos A - sin A = √2 sin A
Answered by Sneha shidid | 24 Jan, 2019, 09:24: AM
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