ICSE Class 10 Answered
If A and B are complementary angles,prove that:
(1)cotB + cosB =secA cosB (1 + sinB)
(2)cotAcotB - sinAcosB - cosAsinB =0
Asked by gautamkr517 | 23 Sep, 2018, 09:03: PM
Expert Answer
If A and B are complementary angles.
A + B = 900
A = 900 - B .........(i)
1. cotB + cosB = secA cosB (1 + sinB)
R.H.S = secA cosB (1 + sinB)
= sec(900 - B) cosB (1 + sinB).......from(i)
= cosecB cosB(1 + sinB)
= (1/sinB) cosB (1 + sinB)
= cotB(1 + sinB)
= cotB + cotBsinB
= cotB + cosB
=L.H.S
Answered by Yasmeen Khan | 24 Sep, 2018, 04:18: PM
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