Question

if tan(thetha) is = x, find the other ratios


PLEASE HELP!!!!!

Answer 1

tan(theta) = 2

this means that opposite divided by adjacent is equal to 2.

this can occur if opposite = 2 and adjacent = 1

this would make hypotenuse equal to sqrt(2^2 + 1^2) = sqrt(5).

your other functions would then be:

sin (theta) = opp/hyp = 2/sqrt(5) = 2*sqrt(5)/5

cos(theta) = adj/hyp = 1/sqrt(5) = sqrt(5)/5

tan(theta) = opp/adj = 2/1 = 2

cot(theta) = adj/opp = 1/2

sec(theta) = hyp/adj = sqrt(5)/1 = sqrt(5)

csc(theta) = hyp/opp = sqrt(5)/2

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