Question

Given that sinθ = 2/3 and is an acute angle.
Find:

Tanθ giving your answer in surd form
θ = tan^(-1)⁡〖(2/√5)= 41.81°〗
Sec^22 θ
θ= cos^(-1)⁡〖(3/√5〗)=

Answer 1

sinØ= 2/3 , Ø is in quad I
in my triangle, x = ? , y = 2, r = 3
x^2 + 2^2 = 3^2
x^2 = 5
x = √5

tanØ = y/x = 2/√5 or, if rationalized, 2√5 /5