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(Solved): Find sin2x,cos2x, and tan2x if tanx=125 and x terminates in quadrant IV sin2x= cos2x= tan2x= ...

$Find \( \sin 2 x, \cos 2 x \), and \( \tan 2 x \) if \( \tan x=-\frac{5}{12} \) and \( x \) terminates in quadrant IV \[ \sin$

Find

sin 2 x, cos 2 x

, and

tan 2 x

if

tan x = ? \frac{5}{12}

and

x

terminates in quadrant IV

sin 2 x =

cos 2 x =

tan 2 x =

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Expert Answer

Solution: If    is in quadrant   , then only    are positive from all trigonometric functions.

(a) Now to find the value of   , we use the following relation:

Therefore, value of    is:   .

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