Let cosecant of x is equal to 5 thirds , where 0 degrees is less than x comma x is less than 90 degrees Which expression has a value of 3 fourths ?

Since cosecant is the reciprocal of sine, sin x = 3/5. Because x is acute, the 3-4-5 right triangle gives cos x = 4/5. Therefore, tan x = sin x ÷ cos x = (3/5) ÷ (4/5) = 3/4, so the expression is tangent of x.

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