In right angled ∆ABC, ZA= 90°, AB= 8 cm., BC = 17 cm.
Find Sin B, Cos B. Also prove that tan B x tan (90 - B)=1.
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Answer:
Given, in △ABC, ∠B=90
o
∴AC
2
=AB
2
+BC
2
[∵ Pythagoras theorem]
⇒BC
2
=AC
2
−AB
2
BC
2
=17
2
−8
2
BC
2
=289−64=225
∴BC=
225
=15cm
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