We will start with basic trigonometric equation
(sinΘ)Λ2+ (cosΘ)Λ2=1 First we divide whole equation with (cosΘ)Λ2
and get (tanΘ)Λ2 + 1 =1/(cosΘ)Λ2 we know that tanΘ=sinΘ/cosΘ
(tanΘ)Λ2= 1/(cosΘ)Λ2 - 1 => (tanΘ)Λ2=(- 13/5)Λ2 -1 => (tanΘ)Λ2= 169/25 - 1
(tanΘ)Λ2= (169-25)/25= 144/25 => tanΘ= + -√144/25= 12/5
We have chosen a positive solution because the sinΘ<0
The correct answer is tanΘ=12/5
Good luck!!!
