Q. 23

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

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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