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

SSC CGL Model Paper 6

Question : 71 of 100

Marks: +1, -0

\cosecθ = 25 / 7,

then what is the value of cosθ ?

Solution:

\cosecθ = 25 / 7

\cosθ =√{1-\sin^2 θ}

=√{1-(1/{\cosecθ})^2}

=√{1-(7/25)^2}

=√{{625-49}/{625}}=√{576/625}

=24/25

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