Hyperbolic Functions:
Hyperbolic functions are the exponential function represented in the rational form. There are mainly six types of hyperbolic functions.
sin hx =
cos hx =
tan hx =
cot hx =
cosec hx =
sec hx =
Hyperbolic Functions Sample Questions:
Question 1: Find the value of x, if 3sinhx – 2coshx -2 = 0
Answer: (b)
Explanation: 3sinhx – 2coshx -2 = 0
Putting the values of hyperbolic functions
Question 2: For x 
(a)
(b)
(c)
(d)
Answer: (d)
Explanation:
Question 3: cothx is equal to
(a)
(b)
(c)
(d)
Answer: (a)
Explanation: cothx =
Question 4: What is the range for tan hx
(a) [1,-1]
(b) R
(c) [0,1]
(d) [-1,1]
Answer: (d)
Explanation: The range of tan hx is (-1,1) and domain is R
Question 5: Find the value of cosh^2x – sinh^2x
(a) 2
(b) -1
(c) 0
(d) 1
Answer: (d)
Explanation: cosh2x – sinh2x
we know that cos hx = cos ix and sinhx = i sin ix
Question 6: What is the period of sin hx
(a)
(b) 2
(c) 0
(d) 2i
Answer: (b)
Explanation: The period of sin hx
Question 7: If f(x) = log(3x-5) +2 then f-1(x) is
(a)
(b) inverse does not exist
(c)
(d)
Answer: (c)
Explanation: f(x) = log (3x-5)+2
y= log(3x-5)+2
Question 8: What is the domain for y = coth-1x
(a) R
(b) [0,1]
(c) R - [-1,1]
(d) [-1,1]
Answer: (c)
Explanation: The domain for coth^-1x
Question 9: Choose the incorrect option
(a) sin ix = i sin hx
(b) cos ix = cos hx
(c) tan hx = -i tan hx
(d) None of these
Answer: (d)
Explanation: sin ix = i sin hx
cos ix = cos hx
Question 10: The value of 
Answer: (d)
Explanation:
