Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

Simplify sin^2(54)+cos^2(72)

Trigonometry
See more answers at brainly.com
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Please don't just go sin 54 = blah and cos(72) = blah, so blah + blah = blahblah
is 54 the actual number or is that in 54 degrees?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

54 degrees
So you just want to know how to computte this by hand?
yes
why did you go into radians?
so what is x equal to?
I fluttered that up ignore me.
Hopefully zrocker can help you X_X
\[sin^2(54)+cos^2(72)\]\[=(cos(90-54))^2+cos^2(72)\]\[=cos^2(36)+cos^2(72)\] That looks nicer
Oh, wait... let me try now
Okay :|
cos^2(36) + (2cos^2(36)-1)^2
am i right?
Yes.
now... do we evaluate cos(36) or simplify more?
Evaluate.
ok. is this straightforward or something we fancily work out?
very fancy :|
let x = 36 5x = 180 3x = 180 - 2x sin 3x = sin2x 3 sinx - 4sin^3 x = 2sinx cox Since sinx =/= 0 3- 4 sin^2 x = 2cosx 3- 4 ( 1-cos^2 x) = 2 cos x 4 cos^2 x - 2cosx -1 =0 Now, solve for cosx.
wow
@apple_pi Come back :'(
So in what class do we learn to play with this trick?
I'm sorry, I don't know. I'm not from the US. But for me, I learnt it two years before university.
Sorry... I had to go for a while
Yeah that solved it! Thanks @Callisto
You're welcome. FYI, this post is worth looking! http://openstudy.com/study#/updates/4fe6e718e4b02c91101b52cd

Not the answer you are looking for?

Search for more explanations.

Ask your own question