Question

If cot θ = 40/9, find the values of cosec θ and cos θ.
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Answer 1

Answer:

cot theeta=40/9

we know,

cosec^2theeta=1+cot^2theet=1+1600/81=1681/81

cosec theeta=√(1681/81)=41/9

cosec theeta=41/9

sin theeta=1/cosec theeta=9/41

cos theeta =√(1-sin^2theeta)

=√(1-81/1681)

=√(1600/1681)

=40/41

cos theeta=40/41