Question

if sin theta = 1/3, then , what is the value of 9/1+cot square Theta ?​

Answer 1

Explanation:

mark me brainlist please stay safe stay home ......be happy

Answer 2

Answer:

The value is 9\cot^2\theta+9=81

Step-by-step explanation:

Given : \sin\theta=\frac{1}{3}

To find : The value of 9\cot^2\theta+9 ?

Solution :

Write the expression as,

9\cot^2\theta+9=9(\cot^2\theta+1)

Using trigonometric property, \cot^2\theta+1=\csc^2\theta

9\cot^2\theta+9=9(\csc^2\theta)

9\cot^2\theta+9=9(\frac{1}{\sin^2\theta})

Substitute the value,

9\cot^2\theta+9=9(\frac{1}{(\frac{1}{3})^2})

9\cot^2\theta+9=9(\frac{1}{\frac{1}{9}})

9\cot^2\theta+9=9(9)

9\cot^2\theta+9=81

Therefore, the value is 9\cot^2\theta+9=81

#Learn more

sin 30 cos 30 + cos 30 sin 60 = sin 90