Q. 22 A5.0( 3 Votes )

# If sec θ = 2, then find the values of other t–ratios of angle θ.

Given: sec θ = 2 We know that,  Let,

BC = 1k and AC = 2k

where, k is any positive integer.

In right angled ∆ABC, we have

(AB)2 + (BC)2 = (AC)2 [by using Pythagoras theorem]

(AB)2 + (1k)2 = (2k )2

(AB)2 + k2 = 4k2

(AB)2 = 4k2 – k2

(AB)2 = 3k2

AB = k3

Now, we have to find the value of other trigonometric ratios.

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