Question

Find the value of
1 / cot A + 1 / cosec A + cot A
If sin A = 1 / 2​

Answer 1

(8+√3)/2√3

Step-by-step explanation:

given

sinA=1/2

sinA=sin30

A=30

also given,

1/cotA+1/cosecA+cotA

where,1/cotA=tanA

and 1/cosecA=sinA

so tanA+sinA+cotA

subsitute A=30

so,tan30+sin30+cot30

=(1/√3)+(1/2)+(√3)

=((2+√3+2×√3×√3)/2√3

=(2+√3+2×3)/2√3

=(2+√3+6)/2√3

=(8+√3)/2√3