Question

If sin theta = 12/13 and theta is an acute angle find cot theta

Answer 1

3 Rd side would be
13sq=12sq+xsq
Xsq=169-144
X=5
Cot theta = adj side/opp side= 5/12

Answer 2

cot θ =
`(5)/(12)`

Explanation:

If sin θ =
`(12)/(13)` and 'θ' is an acute angle then we have to find the value of cotθ

From the figure attached.

y² + 12² = 13² [ by Pythagoras Theorem ]

y + 144 = 169

y² = 169 - 144 = 25

y = 5

Now cot θ =
`(base)/(Height)`

=
`(y)/(12)`

=
`(5)/(12)`

Therefore, cot θ =
`(5)/(12)` is the answer.