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Question

If 8tanA=15, find sinAcosA.

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Solution

Given,
8tanA=15

tanA=158

We know that,

tanA=oppositeSideadjacentSide


From Pythagoras theorem,

(Hypotenuse)2=(oppositeSide)2+(adjacentSide)2

(Hypotenuse)2=152+82

(Hypotenuse)2=225+64=289

(Hypotenuse)=17


cosA=AdjacentSideHypotenuse=817

sinA=OppositeSideAdjacentSide=1517


Therefore,
sinAcosA

=1517817

=(158)17

=717

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