In ∆ABC, angleB=90°.find the following results, sinA×cosC tanA/cotC 1+tan²A?
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Step-by-step explanation:
Sins, Triangle of ABC whose angle B=90° and
TanA=1/13
Therefore, TanA=1/V3=BC/AB. [From to angle A]
Therefore,Let, BC=k and AB=v3k
According to pithagoraous rule,
AC?=AB?+BC?
»AC2=(v3K)2+(k)
»AC?=3k?+k?
» AC2=4K2
Therefore, AC=2k
And sinA=BC/AC=k/2k=1/2
cosA=AB/AC=v3k/2K3DV3/2
sinC=AB/AC=v3k/2k=v3/2
cosC=BC/AC=k/2k=1/2
:. sinA.cosC+cosA.sinC
=1/2x1/2+v3/2xv3/2
=1/4+3/4
=1+3/4
=4/4
= 1
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