if tan theta =8/15 then value of 15sin theta - cos theta / 15sin theta + cos theta
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Given,
8tanA=15
tanA=
8
15
We know that,
tanA=
adjacentSide
oppositeSide
From Pythagoras theorem,
(Hypotenuse)
2
=(oppositeSide)
2
+(adjacentSide)
2
(Hypotenuse)
2
=15
2
+8
2
(Hypotenuse)
2
=225+64=289
(Hypotenuse)=17
cosA=
Hypotenuse
AdjacentSide
=
17
8
sinA=
AdjacentSide
OppositeSide
=
17
15
Therefore,
sinA−cosA
=
17
15
−
17
8
=
17
(15−8)
=
17
7
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