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Best Homework Help For Hyperbolic Functions

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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

Explanation: 3sinhx – 2coshx -2 = 0

Putting the values of hyperbolic functions

Question 2: For x cosh(x)  is equal to:

(a)

(b)

(c)

(d)

Explanation:

Question 3: cothx is equal to

(a)

(b)

(c)

(d)

Explanation: cothx =

Question 4: What is the range for tan hx

(a) [1,-1]

(b) R

(c) [0,1]

(d) [-1,1]

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

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

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)

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]

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

Explanation: sin ix = i sin hx
cos ix = cos hx

Question 10: The value of  is