If cot ( P + Q) = 0 and tan ( P - Q) = $\frac{1}{\sqrt{3}}$, then what is the value of ∠P and ∠Q ? (0 degree < P, Q ≤ 90 degree)
Answer & explanation
Correct answer: option 3
We are given that ,
cot ( P + Q ) = 0
{ we know that , cot 90º = 0 }
So , P + Q = 90º ----(1)
And tan ( P - Q ) = \(\frac{1}{√3}\)
{we know that , tan 30º = \(\frac{1}{√3}\) }
so, P - Q= 30º ----(2)
On adding 1 and 2 equation,
2P = 90º
P = 60º
and Q = 90º - 60º
Q = 30º
Ans:- 45º & 30º