1) You know that , now compute
2) , now apply the given formula.
It doesn't understand very well the exponents of some identities, try to use LaTeX
So I have like 6 problems right now left or so on my Calculus homework sheet (somewhere around like 150 problems total) and I'm having trouble showing these solutions.
Problem #1: Express sin(arccos x) in a form that contains no trigonometric functions or their inverses.
Problem #2: Use the trigonometric identity, sin(A+B) = (sin A cos B) + (cos A sin B), to verify that, sin2x = 2sin x cos x
Problem #3: Show that sin⁵ x cos⁴ x = sin⁵ x - 2sin⁷ x + sin⁹ x.
Problem #4: Show that sec³ x tan⁵ x = sec x tan x(sec⁶ x - 2sec⁴ x + sec² x).
Problem #5: Show that sin⁴ x = ³⁄₈ - ½cos 2x + ¹⁄₈cos 4x
Problem #6: Show that (1/1+ sin x) = sec² x - sec x tan x
And just to restate, that I'm sorry if it seems that I'm posting alot of questions on here but there is alot of problems and I do not have a book or any example problems to work off)
Thanks for any and all help.
Okay so I know that I'm a new member and all, and I'm sorry if it seems like
Welcome aboard . . . Here's some help . . .
Let1) Express in a form
that contains no trigonometric functions or their inverses.
So is an acute angle in a right triangle
. . with: .
Using Pythagorus, we find that: .
. . Hence: .
We have: .2) Use the identity: .
to verify that: .
As you can see, we can't read the exponents.3) Show that sin⁵ x cos⁴ x = sin⁵ x - 2sin⁷ x + sin⁹ x.
. . But I'll take a guess . . .
Is it: . ?
We need the identity: .
We have: .
Thank you for the help on problems 1 and 2. However I don't understand why my powers will not show up for your computers but I have managed to correctly solve 3 of the 4 other problems.
The one I still need is problem 5.
Here it is again and I'll make it to where I know you can read it.
Problem #5: Show that sin^4 x = (3/8) - (1/2)cos 2x + (1/8)cos 4x.
Sorry if this seems harder to read but it is the only way I can post the problem.
Thanks again for everything!