If tan A = 1/√3, find all other trigonometric ratios of angle A.
Answers
Answered by
0
Answer:
tanA=1/
3
,
In right ΔABC
tanA=BC/A=1/
3
,
So B=1 and A=
3
.
By Pythagoras theorem,
A=
(AB
2
+BC
2
)
= ( 3
)
2
+(1)
2
=
(+1)
=
4
=2.So,
sinA=BC/A=1/2
cosA=AB/A=
3
/2
cotA=1/tanA=
3
secA=1/cosA=2/
3
cosecA = 1/sinA=2/1=2.
Answered by
1
Step-by-step explanation:
We know that,
tan 30° = 1/ root 3
therefore
A = 30°
Substituting A = 30° in all trigonometric ratios, we get
sin 30° = 1/2
cos 30° = root 3/ 2
cosec 30° = 2
sec 30° = 2/ root 3
cot 30° = root 3
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