If (\theta) is in the first quadrant and (\sin \theta=\frac{5}{13}), what is (\cos \theta)?

Question

Answer and explanation

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

( \cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}), and in the first quadrant it is positive. In exams do not forget quadrant sign.

What is the correct answer to this question?

(\frac{12}{13})

Why is this the correct answer?

( \cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}), and in the first quadrant it is positive. In exams do not forget quadrant sign.

Which subject and chapter does this question cover?

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