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Question

Given 15cotA=8, find sinA and secA.

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Solution

Given,

15cotA=8
cotA=815
=> tanA=158-------(tanA=1cotA)
We know that,
tanθ=oppositeSideadjacentSide

Consider the attached figure, triangleABC

From Pythagoras theorem,

AC2=AB2+BC2
AC2=82+152=64+225=289
AC=17

cosA=adjacentSideHypotenuse=ABAC=817

secA=1cosA=1817178

sinA=oppositeSideHypotenuse=BCAC=1517

924859_966378_ans_320df50a8ad745fc82a016957c48b0e7.png

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