If lies in Quadrant IV, find the values of

(i) (ii)


(iii)


Given: sin x = and x lies in Quadrant IV.


To Find: i)sin ii)cos iii)tan


Now, since sin x =


We know that cos x =


cos x =


cos x =


cos x =


since cos x is positive in IV quadrant, hence cos x =


i) sin


Formula used:


sin =


Now, sin = = = = =


Since sinx is negative in IV quadrant, hence sin


ii)cos


Formula used:


cos =


now, cos = = = = =


since cosx is positive in IV quadrant, hence cos =


iii)tan


Formula used:


tan x =


hence, tan = = = = -1


Here, tanx is negative in IV quadrant.


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