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Question

Find the values of cot θ and cosec θ in the figure given above.

A
2,52
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B
43,53
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C
2,54
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D
52,2
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Solution

The correct option is B 43,53
In the given triangle ABC, for the angle θ, the opposite side is BC which has a length of 6 units, the adjacent side is AC which has a length of 8 units,
the hypotenuse is AB which has a length of 10 units.

So, cot θ=adjacent sideopposite side=ACBC =86 =2×42×3 =43cosec θ=hypotenuseopposite side=ABBC =106 =2×52×3 =53

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