Q. 214.0( 4 Votes )

If, then find the values of sin θ and cos θ.

Answer :

Given:


We know that,



Let,


AB = √(m2 – n2) and BC = n


In right angled ∆ABC, we have


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


(√(m2 – n2))2 + (n)2 = (AC )2


m2 – n2 + n2 = (AC )2


(AC)2 = (m2)


AC = m2


AC = ±m


AC = m [taking positive square root since, side cannot be negative]


Now, we have to find the value of cos θ and sin θ


We, know that




and




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