Question

If cosec teta = 25 /7, then find.cot teta​

Answer 1

cosecθ = 25/7

cotθ = ??

We know the formula

cosec^2θ = 1 + cot^2θ

cot^2θ = cosec^2θ - 1

put, cosecθ = 25/7

cot^2θ = (25/7)^2 - 1

cot^2θ = 625/49 - 1

cot^2θ = (625 - 49) / 49

cot^2θ = 576 / 49

cotθ = ✓(576/49)

cotθ = 24/7