Math, asked by nujatmulani304, 4 months ago

In ∆ABC, angleB=90°.find the following results, sinA×cosC tanA/cotC 1+tan²A?​

Answers

Answered by usjadhav2001
0

Answer:

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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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