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If tanθ=3677
, what is the value of sinθ
?

If tanθ=3677 , what is the value of sinθ ?-example-1
User Lionel T
by
8.8k points

1 Answer

4 votes

We are given


\sf \tan( \theta) = (36)/(77)

And we know that:


\sf \tan( \theta) = (P )/(B)

Thus, P = 36 and B = 77

Now by pythagoras theorem:


{H} = \sqrt{ {P }^(2) + {B}^(2) }


{H} = \sqrt{ {36 }^(2) + {77}^(2) }


{H}= √( 1296 + 5929 )


{H} = √( 7225 )


{H} = 85

Now, We know that;


\sf \sin( \theta) = (P )/(H)


\sf \sin( \theta) = (36)/(85)

User Jivago
by
8.6k points
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