Question

If cscθ = 3/2, then cosθ =

Answer 1

Answer:

1/3

Step-by-step explanation:

csc = 3/2

Therefore, sin = 2/3

and cos = 1-(2/3) = 1/3

Answer 2

Answer:

cosθ = √5/3

Step-by-step explanation:

given :- cscθ = 3/2

Consider any triangle PQR right angle at Q.

cscθ = h/p

» hypotenuse = 3 and perpendicular = 2

using pythagoras theorem,

PR^2 = QR^2 + QP^2

» 3^2 = 2^2 + QP^2

» 9 = 4 + QP^2

» 9 - 4 = QP^2

» QP = √5

cosθ = base/hypotenuse = QP/Or

= √5/3

<3 :)