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

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

kittenalexis68

12.03.2022

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.

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