If t is an acute angle and cos t is=1/2, find the value of cot^2 t

Answer 1

If cost = 1/2, then sint = √[1 - cos²t] = √3/2

So, cot t = cost/sint = 1/√3

Therefore, cot²t = 1/3

Answer 2

60°=cot^2

=1/sin^2

1/(1/60)

sin^2=.0166.....

sin=.129.....

t=7.417....°