Proving Hyperbolic Identities (5 examples)
9.5 هزار بار بازدید -
3 سال پیش
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We will prove 5 hyperbolic
We will prove 5 hyperbolic identities. We will mainly use sinh(x)=(e^x-e^(-x))/2 and cosh(x)=(e^x+e^(-x))/2 to show these results. Subscribe for more precalculus & calculus tutorials 👉 https://bit.ly/just_calc
0:00 sinh^2(x)=-1/2+1/2cosh(2x)
2:51 sinh(2x)=2sinh(x)cosh(x)
6:02 sinh^2(x)+cosh^2(x)=cosh(2x)
9:14 tanh(ln(x))=(x^2-1)/(x^2+1)
11:44 1-tanh^2(x)=sech^2(x)
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Best wishes to you,
#justcalculus
0:00 sinh^2(x)=-1/2+1/2cosh(2x)
2:51 sinh(2x)=2sinh(x)cosh(x)
6:02 sinh^2(x)+cosh^2(x)=cosh(2x)
9:14 tanh(ln(x))=(x^2-1)/(x^2+1)
11:44 1-tanh^2(x)=sech^2(x)
---------------------------------------------------------
If you find this channel helpful and want to support it, then you can
join the channel membership and have your name in the video descriptions:
👉https://bit.ly/joinjustcalculus
buy a math shirt or a hoodie (10% off with the code "WELCOME10"):
👉 https://bit.ly/bprp_merch
"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc
---------------------------------------------------------
Best wishes to you,
#justcalculus
3 سال پیش
در تاریخ 1400/09/15 منتشر شده
است.
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