What is (\sin(-x)) equal to?
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Answer and explanation
Correct answer: \(-\sin x\)
Sine is an odd function. Therefore, changing the sign of the angle changes the sign of its value: \(\sin(-x)=-\sin x\). Choosing \(\sin x\) would apply the even-function rule, so it is incorrect here. Exam tip: \(\sin\) and \(\tan\) are odd functions, whereas \(\cos\) is an even function.
Frequently asked questions
What is the correct answer to this question?
\(-\sin x\)
Why is this the correct answer?
Sine is an odd function. Therefore, changing the sign of the angle changes the sign of its value: \(\sin(-x)=-\sin x\). Choosing \(\sin x\) would apply the even-function rule, so it is incorrect here. Exam tip: \(\sin\) and \(\tan\) are odd functions, whereas \(\cos\) is an even function.
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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