15cot a= 8 , find sina
Answers
Answered by
0
Answer:
cota=8/15
cota =a/o
hypo=17(using phythagorous triplet)
sina = 15/17
Answered by
1
Step-by-step explanation:
Given,
15cotA=8
cotA=
15
8
=> tanA=
8
15
-------(tanA=
cotA
1
)
We know that,
tanθ=
adjacentSide
ooppositeSide
Consider the attached figure, triangleABC
From Pythagoras theorem,
AC
2
=AB
2
+BC
2
AC
2
=8
2
+15
2
=64+225=289
AC=17
cosA=
Hypotenuse
aadjacentSide
=
AC
AB
=
17
8
secA=
cosA
1
=
17
8
1
8
17
sinA=
Hypotenuse
oppositeSide=
AC
BB
=
17
15
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