Question

If 13 sin 0 = 12, then the value of cosec 0 is

(A)12/5
(B)13/5
(C)12/13
(D)13/12

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Answer 1

Step-by-step explanation:

13 sin theta = 12

sin theta = 12/13

cosec = 1/sin

so, cosec theta = 13/12

Answer 2

Given :  13 Sinθ = 12

To Find :   Cosecθ

Solution:

13 Sinθ = 12

=>  Sinθ =  12/13

Cosecθ  =  1/Sinθ

=> Cosecθ  =  1/(12/13)

=> Cosecθ  = 13/12

Option D is correct

Additiona info

Sinθ  =  Perpendicular / Hypotenuse

Cos θ  = Base / Hypotenuse

Tan  θ = Sinθ /Cos θ   = Perpendicular /Base

Cosecθ  = 1/Sinθ  = Hypotenuse/Perpendicular

Secθ  =  1/Cos θ = Hypotenuse/Base

Cotθ  = Cosθ/Sinθ = Base/Perpendicular

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