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If (\cot \theta=\frac{12}{5}) and (\theta) is in the first quadrant, what is (\cos \theta)?

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Answer and explanation

Correct answer: (\frac{12}{13})

In ( \cot \theta=\frac{12}{5}), adjacent is (12), opposite is (5), and hypotenuse is (13). In exams use ( \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}}).

Tags

trigonometric-functionscotangent-to-cosineratio

Frequently asked questions

What is the correct answer to this question?

(\frac{12}{13})

Why is this the correct answer?

In ( \cot \theta=\frac{12}{5}), adjacent is (12), opposite is (5), and hypotenuse is (13). In exams use ( \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}}).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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