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(Solved): Let be an angle in quadrant I such that cos=53. Find the exact values of csc and cot. ...

$Let \( \theta \) be an angle in quadrant I such that \( \cos \theta=\frac{3}{5} \). Find the exact values of \( \csc \theta \$

Let

?

be an angle in quadrant I such that

cos ? = \frac{3}{5}

. Find the exact values of

csc ?

and

cot ?

.

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Expert Answer

Using the identitysin2(?)+cos2(?)=1sin2(?)+(35)2=1sin2(?)+925=1sin2(?)=1?925sin2(?)=1625sin?(?)=±1625sin?(?)=±45Since the angle is in the 1st quadrant

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