Precalculus
posted by jh .
Can anyone help me with this question please!!
Show that
(cosh x)^2  (sinh x)^2 = 1
for every real number x.

Expand and simplify using:
cosh(x)=(e^{x}+e^{x})/2
sinh(x)=(e^{x}e^{x})/2
noting that e^{x} * e^{x}=1
For the domain, since both e^{x} and e^{x} have a domain of R, so the expression cosh(x)²sinh(x)²=1
also has a domain of R, or (∞,&infin).
Respond to this Question
Similar Questions

maths 2
The original question I had was write arcsin4 in the form a+ib. I manage and understand how to get so far BUT How do I get from cosacoshbisinasinhb=4 to 2m(pi)+/ iarccosh4 arcsin4 = a + b i > 4 = sin(a + bi) sin(a + bi) = sin(a)cos(bi) … 
Maths
use the formula cos(x+iy)=cosxcosiysinxsiniy to find two imaginary numbers whose cosine is 3 cos(x+iy)=cosxcosiysinxsiniy = cos(x)cosh(y)  i sin(x)sinh(y) = 3 Equating imaginary parts gives: sin(x)sinh(y) = 0 You know that y cannot … 
calculus
what is the antiderivative on square root of cosh^2(x)? 
Calculus
so we are doing integrals and I have this question on my assignment and I can't seem to get it, because we have the trig substituion rules, but the number isn't even so its not a perfect square and I just cant get it, so any help would … 
calc: arc length
find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2 <or= x <or= 1 im looking over my notes, but i'm getting stuck. here's my work so far: A ( 1 , 2/3 ) B ( 1/2 , 49/48 ) y' = [1/6 (3x^2)] + [1/2 (1x^2)] y' = ( … 
Calculus
Solve the differential equation. Let C represent an arbitrary constant. (Note: In this case, your answer willto have a negative sign in front of the arbitrary C.) (dz)/(dt) + e^(t+z) = 0  (dz/dt) + (e^t)(e^z) = 0 (dz/dt) … 
7th grade math ms.sue
4. Which statement is true? (1 point) Every real number is an integer. Every rational number is a real number. Every rational number is a perfect square. Every integer is an irrational number. Is this correct? 
Calculus
How to derive cosh (3x) in terms of cosh (x) and sinh (x) ? 
PLEASE CHECK MATH TY!
1. Which of these numbers can be classified as both real and rational? 
Please answer this for math!
Which statement is TRUE? A. Every real number is an integer. *** B. Every rational number is a real number. C. Every rational number is a perfect square. D. Every integer is an irrational number.