Question

In ∆ABC , angle B = 90. If sin A = 6/7 find:
a) the length of AB
b) the value of cos A
(c) the value of cot A.
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Answer 1

Step-by-step explanation:

here angle B=90

so AC is hypotenus

for angle A,BC is opposite and AC is hypotenus

so,sinA=(opposite/hypotenus)=6/7=BC/AC

for length of AB

according to Pythagoras theorem ,

(AB)^2+(BC)^2=(AC)^2

(AB)^2+(6)^2=(7)^2

(AB)^2=(7)^2-(6)^2=49-36=13

(AB)=√(13)=3.60

for cosA=(adjacent/hypotenus)=√13/7

for cotA=cosA/sinA=√13/6

so your answer is a)√13

b)√13/7

c)√13/6

so here is your solution

thanks