Question: Which of the following function is an odd function?
A ) sec 4x
B ) cos 7x
C ) 4 sec 5x
D ) sin 4x
Steps to derive
1 sec (- 4x) = sec 4x, for all values of x
2 cos (- 7x) = cos 7x, for all values of x
3 4 sec (- 5x) = 4 sec 5x, for all values of x
4 sin (- 4x) = - sin 4x, for all values of x.
5 So, sin 4x function is an odd function.
Hence the right answer is Option D
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