Question
Question: The value of \(\frac{e^{2\theta} - 1}{e^{2\theta} + 1}\) is....
The value of e2θ+1e2θ−1 is.
A
cothθ
B
coth2θ
C
tanhθ
D
tanh2θ
Answer
tanhθ
Explanation
Solution
2eθe2θ−1=sinhθ
2eθe2θ+1=coshθ
e2θ+1e2θ−1=tanhθ.
The value of e2θ+1e2θ−1 is.
cothθ
coth2θ
tanhθ
tanh2θ
tanhθ
2eθe2θ−1=sinhθ
2eθe2θ+1=coshθ
e2θ+1e2θ−1=tanhθ.