Trig Identity B

Geometry Level 2

When is the expression:

sin⁴x cos⁴x tan⁴x sec⁴x csc⁴x cot⁴x

undefined?

cos x=0 sin x=0 tan x=0 All of the above.

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1 solution

X X
Jul 2, 2018

When sin x = 0 , csc x \sin x=0,\csc x is undefined.

When cos x = 0 , sec x \cos x=0,\sec x is undefined.

When tan x = 0 , cot x \tan x=0,\cot x is undefined.

Hence the answer is All of the above

@Charley Feng, Any one of the above is correct answer. Because if any one of the trigonometric function is = 0, then its reciprocal trigonometric function is= \infty . And 0 = ? 0*\infty=? undefined. So if any one of the trigonometric function is = 0, then the whole equation becomes undefined. So, any one of the trigonometric function = 0, is the sufficient condition to make the whole equation undefined.

Winod DHAMNEKAR - 1 year, 8 months ago

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