If {\cosec} \\theta=25 / 7, then what is the value of cot \\theta ?

SSC CGL 17 Aug 2017 Shift 2 Paper

Question : 71 of 100

Marks: +1, -0

{\cosec} \θ=25 / 7,

then what is the value of cot

\θ \ ?

Solution:

{\cosec} \θ=25 / 7

⇒

\sin \θ= {1}/{ {\cosec} \θ}= {7}/{25}

\cot \θ= {\cos \θ}/{\sin \θ}= {\√{1-\sin ^{2} \θ}}/{\sin \θ}

=\ {√{1- {49}/{625}}}/{ {7}/{25}}= {√{ {625-49}/{625}}}/{ {7}/{25}}

=√{ {576}/{625}}×{25}/{7}= {24}/{25} ×{25}/{7}= {24}/{7}

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