# If cot (∅) = 5/2 and cos (∅) < 0, then what are the exact values of tan (∅) and csc (∅) ? With solution

2
by NightHawk

2016-05-02T00:41:53+05:30

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Solutions

cot(∅) =  or

Because the hypotenuse is always a positive value, the value of "y" must be a negative value in order for the cosine to be less than zero. We must then conclude that in our right triangle "x" and "y" would both be negatives, since the tangent is positive.

√(-5)² (-2)² = √29 = hyp

csc(∅) =  = -

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• Brainly User
2016-05-02T02:40:50+05:30

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cot (∅) = 5/2

tan
(∅)=1/cot(∅)....= 2/5
or cot
(∅) =base/perpendicular line of a triangle(right angled triangle)
applying pythoghoras theorem

√(-5)² +(-2)² = √29
csc(∅)=hypotenuse/perpendicular
=
√29 /2