Question

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

Answer 1

Answer:

cot θ = $\frac{5}{12}$

Step-by-step explanation:

If sin θ =  $\frac{12}{13}$ 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 = $\frac{base}{Height}$

                 = $\frac{y}{12}$

                = $\frac{5}{12}$

Therefore, cot θ =$\frac{5}{12}$ is the answer.

Answer 2

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