Uploaded by Tommynnnnn on 09.08.2012

Transcript:

this video is on trig identities

derivatives and integrals

as they apply to trig

functions

and let's get started

we have um

second alpha

allows you to put letters into the calculator or the screen I_n_d_e_x

alpha 8

closed parentheses, closed parentheses

tells you

uh... for calculus

and up comes a menu and we're going are you can go up and go down in the last

part of the

alphabet

and we want to go maybe

trig and half angle formulas for that

pretty interesting program

you can scroll down and choose whatever you want for instance lets start something

easy like cosine of x

and you notice the derivative of cosine of x minus sign of x and the integral

of cosine of x is sine of x plus c

identities or one over secant cotangent sine of x sine of x over tangent of x

double angle formula cosine of x equals sine of two x

divided by two sin of x

these are all things that come up in calculus

and you either memorize them or you know them

your a genius

or like me would trigger my mind once i get away from sin or cosine and um...

was able to

add the identity to come back and do some problems

lets take for instance the next one cosine squared of x

half angle formula his equal to one-plus cosine two x

divided by two pythagorean identity is one minus sine squared x

derivative

you have the original function cosine

squared of x which is really cosine of x times cosine of x

and so you have the product rule here which we use f prime then would be

cosine of x times

the derivative of cosine of x plus

the derivative cosine of x times cosine of x

and it works out to these

uh... cosine of x minus sign of x et-cetera et-cetera

and that's how they get the

derivative of two sine of x cosine of x pretty interesting

lets do one more

derivatives and integrals

as they apply to trig

functions

and let's get started

we have um

second alpha

allows you to put letters into the calculator or the screen I_n_d_e_x

alpha 8

closed parentheses, closed parentheses

tells you

uh... for calculus

and up comes a menu and we're going are you can go up and go down in the last

part of the

alphabet

and we want to go maybe

trig and half angle formulas for that

pretty interesting program

you can scroll down and choose whatever you want for instance lets start something

easy like cosine of x

and you notice the derivative of cosine of x minus sign of x and the integral

of cosine of x is sine of x plus c

identities or one over secant cotangent sine of x sine of x over tangent of x

double angle formula cosine of x equals sine of two x

divided by two sin of x

these are all things that come up in calculus

and you either memorize them or you know them

your a genius

or like me would trigger my mind once i get away from sin or cosine and um...

was able to

add the identity to come back and do some problems

lets take for instance the next one cosine squared of x

half angle formula his equal to one-plus cosine two x

divided by two pythagorean identity is one minus sine squared x

derivative

you have the original function cosine

squared of x which is really cosine of x times cosine of x

and so you have the product rule here which we use f prime then would be

cosine of x times

the derivative of cosine of x plus

the derivative cosine of x times cosine of x

and it works out to these

uh... cosine of x minus sign of x et-cetera et-cetera

and that's how they get the

derivative of two sine of x cosine of x pretty interesting

lets do one more