if tanA=2/3 then find all other trigonometric ratios
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10th
Maths
Introduction to Trigonometry
Trigonometric Ratios
If tan A = √(3) , find othe...
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Asked on December 26, 2019 by
Sameera Senthilvelavan
If tanA=
3
, find other trigonometric ratios of ∠A.
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ANSWER
tanA=
Base
Perpendicular
=
1
3
Using pythagoras theorem,
AC
2
=AB
2
+BC
2
AC
2
=(1)
2
+(
3
)
2
AC
2
=1+3=4
AC=2
Therefore,
Base=1,Perpendicular=
3
,Hypotenuse=2
Therefore,
sinA=
2
3
,cosA=
2
1
,tanA=
3
cosecA=
3
2
,secA=2,cotA=
3
1
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