Question

if sin.a=1/2, then the value of cot a is
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Answer 1

Answer:

cot a = √3

Step-by-step explanation:

sin a=1/2

sin^2a+cos^2a= 1

cos a=√1-sin^2a

=√1-(1/2)^2

=√1-1/4

=√(4-1)/4

=√3/4

=(√3)/2

Therefore, cos a= (√3)/2

cot a= cos a/ sin a

=(√3/2)/1/2

=√3

HOPE IT WILL HELP YOU

Answer 2

Answer:

√3

Step-by-step explanation:

sin. a=1/2=sin30

Hence a=30'

Also cos.a=√3/2

We know that cot a=cos a/sin a

Substituting value of sin a and cos a

cot.a =√3/2/ 1/2

cot a=√3