anonymous
  • anonymous
Prove that: cos(sin^-1(x)) = sqrt (1-x^2)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
watchmath
  • watchmath
Let \(a=\cos(\sin^{-1} x)\) Then \(a^2+\sin^2(\sin^{-1}x)=1\) But remember \(\sin(\sin^{-1}(x))=x\) Hence \(a^2+x^2=1\) \(a^2=1-x^2\) \(a=\sqrt{1-x^2}\) Therefore \(\cos(\sin^{-1}(x)=\sqrt{1-a^2}\)
watchmath
  • watchmath
I mean \(\cos(\sin^{-1}(x))=\sqrt{1-x^2}\)
anonymous
  • anonymous
Do you mind if I ask you another question

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

watchmath
  • watchmath
If you think the answer above helps you please the good answer button :). Post your other question as a new question. If it is interesting, I might help you. But don't worry there are a lot of people who will be able to help you :D.
anonymous
  • anonymous
hello wathmath!
anonymous
  • anonymous
lots of posts tonight
watchmath
  • watchmath
wow you already halfway amistre64 medals :D
watchmath
  • watchmath
I don't know I am not as excited as before in answering questions :D
anonymous
  • anonymous
well i have to agree. getting old, but my latex is improving by leaps and bounds
anonymous
  • anonymous
and no amistre is way ahead. i will never catch up
watchmath
  • watchmath
use \ ( \ ) instead of \ [ \ ] to get inline latex, that will make your post more concise :)
anonymous
  • anonymous
yo satellite can you go back to this question that you were helping me with? If sin(x) = 1/3 and sec(y) = 5/4 , where x and y lie between 0 and pie/2, evaluate the expression cos(x+y).
anonymous
  • anonymous
I asked you about how the pathagoras part you did i was a little confused..can you show that work?

Looking for something else?

Not the answer you are looking for? Search for more explanations.