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Question

Match the following:

Given sinx = (25) and x(0,π2)

(p) cosx(1)52(q) tanx(2)212(r) cscx(3)215(4)221

A

P-2, Q-3, R-4

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B

P-3, Q-2, R-4

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C

P-2, Q-3, R-1

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D

None of these

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Solution

The correct option is D

None of these


As x is an acute angle,

We will construct the triangle in such a way that sinx = 25 (Above figure).

Using Pythagoras theorem, we can find the 3rd side of the .
So the triangle will be

Now, cosx = 215 (AdjacentHypotenuse)

tanx = 221 (OppositeAdjacent)

cscx = 52 (HypotenuseOppositeor1sinx)

So the answer is p3,q4,r1


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