Q. 23

If , then find the values of other t–ratios of angle θ.

Answer :

Given: cosec θ = √10


We know that,




Let,


AB = 1k and AC = k√10


where, k is any positive integer.


In right angled ∆ABC, we have


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


(1k )2+ (BC)2 = (k√10)2


(BC)2 = 10k2 – k2


(BC)2 = 9k2


BC = 9k2


BC =±3k [taking positive square root since, side cannot be negative]


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


We, know that










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