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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
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Asked by gautamkr517 | 23 Sep, 2018, 21:03: PM
answered-by-expert 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, 16:18: PM

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