If { \sec\theta + \tan \theta } /{ \sec \theta - \tan \theta } = { 5 } /{ 3 } then \sin \theta is equal to:

SSC MTS Model Paper 8

Question : 98 of 100

Marks: +1, -0

{ \secθ + \tan θ } /{ \sec θ - \tan θ } = { 5 } /{ 3 }

then

\sin θ

is equal to:

Solution:

(a)

{ \sec θ + \tan θ } /{ \sec θ - \tan θ} = { 5 } /{ 3 }

=> 3 Secθ + 3tanθ = 5 secθ -5tanθ
=> 8 tanθ = 2 secθ
=>secθ/tanθ = 4
=>

{ 1 }/ { \cos θ } × { \cos θ }/ { \sin θ } = 4

=>sin θ=1/4

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