The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
Trigonometry identity
Given the following trigonometry function as shown below:
csc(a) = -5√6/12
Since csc(a) = 1/sin(a)
sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp
Determine the measure of cos(a)
adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369
cot(a) = cos(a)/sin(a)
cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5
Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
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