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)2√21
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 = 2√21 (OppositeHypotenuse)
cosecx = 52 (AdjacentHypotenuseor1sinx)
So the answer is P-3, Q-4, R-1