Question

If cosec θ = 2, then the value of 1/tan⁡θ +sin⁡θ/(1+cos⁡θ )
(a) √3/2
(b) 2
(c) 1/2
(d) √3

Answer 1

you can see your answer

Answer 2

Thank you for asking this question. Here is your answer:

cosecA =2

sinA = 1/2  this will be equation 1

cosA = √(1-sin²A)

 √(1 - 1/4)

√(3/4)

√3/2  This will be equation 2

tanA = 1/2 / √3/2

= (1/2) * (2/√3)

= 1/√3 this will be equation 3

1/tanA + sinA/(1+cosA)

Now from 1 2 and 3 equations we will put the values

= 1/(1/√3) + (1/2) / ( 1+ √3/2)

= √3 + (1/2) / {(2+√3)/2}

= √3 + 1/(2+√3)

= (2√3 + 3 + 1) / (2+√3)

= 2( √3+2) / (√3+2)

= 2

The final answer is option b: 2

If there is any confusion please leave a comment below.