If 5 sin θ = 3, the numerical value of \frac{\sec\theta-\tan\theta}{\sec\theta+\tan\theta} is

SSC CGL 16 Aug 2015 Shift 1 Paper

Question : 143 of 200

Marks: +1, -0

If 5 sin θ = 3, the numerical value of

{secθ-tanθ}/{secθ+tanθ}

Solution:

5 sin θ = 3 ⇒ sin θ =

3/5

Expression =

{secθ-tanθ}/{secθ+tanθ}

{1/{cosθ}-{sinθ}/{sinθ}}/{1/{cosθ}+{sinθ}/{cosθ}}

{{1-sinθ}/{cosθ}}/{{1+sinθ}/{cosθ}}

{1-sinθ}/{1+sinθ}

{1-3/5}/{1+3/5}

{5-3}/{5+3}

2/8

1/4

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