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if sec(theta) =-6 and tan (theta) < 0 what is the othe four trig functions

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find the other four trig functions

asked Nov 20, 2013 in TRIGONOMETRY by futai Scholar

1 Answer

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Given Sec(theta) = -6 and tan(theta) < 0

Sec(theta) and tan(theta) are negitive in second quadrant.

Sec(theta) = hypotenuse/adjacent side

Hypotenuse = 6 and adjacent side = 1

From the pythageron therom opposite side is = √35

Sin(theta) = opposite side/hypotenuse = √35/6

Cos(theta) = adjacent side/hypotenuse = -1/6

Cot(theta) = adjacent side/opposite side = -1/√35

Csc(theta) = hypotenuse/opposite side = 6/√35

 

 

answered Jan 24, 2014 by friend Mentor

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