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Question

Match the following:

Given sin x = 25 and x ϵ (0,Π2)

(p) cos x(1)52(q) tan x(2)212(r) cosec x(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


x is an acute angle (Given in the question) So we will construct appropriate right and find the ratios.

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

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

Now, cosx = 215 (AdjacentHypotenuse)

tanx = 221 (OppositeHypotenuse)

cosecx = 52 (AdjacentHypotenuseor1sinx)

So the answer is P-3, Q-4, R-1


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