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,
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 = k√3
Now, we have to find the value of other trigonometric ratios.
We, know that
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