What is the sign of (\sin x) in the fourth quadrant?
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Answer and explanation
Correct answer: Negative
In the fourth quadrant, the y-coordinate of a point is negative. Since \(\sin x=\frac{y}{r}\) and \(r\) is always positive, \(\sin x\) is negative. It is zero only on the x-axis, not within a quadrant. Exam tip: In the fourth quadrant, remember that cosine is positive and sine is negative.
Frequently asked questions
What is the correct answer to this question?
Negative
Why is this the correct answer?
In the fourth quadrant, the y-coordinate of a point is negative. Since \(\sin x=\frac{y}{r}\) and \(r\) is always positive, \(\sin x\) is negative. It is zero only on the x-axis, not within a quadrant. Exam tip: In the fourth quadrant, remember that cosine is positive and sine is negative.
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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