Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Which option is incorrect? A. cosh²x-sinh²x=1 B. cosh²x+sinh²x=cosh2x C. tanhx=sinhx/coshx D. 1-cosh²x=sinh²x
Options
A cosh²x-sinh²x=1
B cosh²x+sinh²x=cosh2x
C tanhx=sinhx/coshx
D 1-cosh²x=sinh²x
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The correct hyperbolic identity is cosh²x-sinh²x=1, which rearranges to 1-cosh²x=-sinh²x, not +sinh²x. So statement D is the incorrect one.

Hint

Compare each statement to the fundamental identity cosh²x-sinh²x=1.

Question Info