21) If 15 cot A=8, find sin A *
Answers
Answered by
0
Given,
15cotA=8
cotA=
15
8
=> tanA=
8
15
-------(tanA=
cotA
1
)
We know that,
tanθ=
adjacentSide
oppositeSide
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
adjacentSide
=
AC
AB
=
17
8
secA=
cosA
1
=
17
8
1
8
17
sinA=
Hypotenuse
oppositeSide
=
AC
BC
= 15/17 .
Similar questions