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Question

In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
cosθ=1215

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Solution

Given,

cosθ=1215

We know that,

cosθ=adjacentSideHypotenuse

Consider the figure above,

From Pythagoras theorem,

AC2=AB2+BC2

152=122+BC2

BC2=225144=81

BC=9

sinθ=AdjacentSideHypotenuse=915

cscθ=1sinθ=1915=159

tanθ=OppositeSideAdjacentSide=912

secθ=1cosθ=11215=1512

cotθ=1tanθ=1912=129
924341_966321_ans_1bad3da68adb47b7b2cd20c8e18b1040.png

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