If (\theta) is in the second quadrant and (\cos \theta=-\frac{3}{5}), what is (\sin \theta)?

Question

Answer and explanation

Correct answer: (\frac{4}{5})

( \sin^2 \theta=1-\cos^2 \theta=\frac{16}{25}), and (\sin \theta) is positive in the second quadrant. In exams ASTC rule helps.

What is the correct answer to this question?

(\frac{4}{5})

Why is this the correct answer?

( \sin^2 \theta=1-\cos^2 \theta=\frac{16}{25}), and (\sin \theta) is positive in the second quadrant. In exams ASTC rule helps.

Which subject and chapter does this question cover?

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