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Chapter 14: Q. 4 (page 889)

Name the trigonometric functions that have asymptotes.

Short Answer

Expert verified

The trigonometric functions aretanx,secx,cscx,secx

Step by step solution

01

Given information

Given trigonometric function

02

Checking the asymptotes

For y=tanx, the asymptotes are x=鈥�,-3蟺2,-蟺2,蟺2,3蟺2,鈥�

For y=cotx, the asymptotes are x=鈥�,-2蟺,-蟺,0,蟺,2蟺,鈥�

For y=cscx, the asymptotes are x=鈥�,-2蟺,-蟺,0,蟺,2蟺,鈥�

Fory=secx, the asymptotes arex=鈥�,-3蟺2,-蟺2,蟺2,3蟺2,鈥�

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