Asked by BIZHATOCOTO
Find the binomial expansion of √1x in increasing power of x up to the term in x⁴
(b)(i) prove that the trigonometric identity_____1_____ _____cot²x______=cos²(1 tan²x) ² (1 cot²x) ²
(b)(ii) Find all values of Z=64³?
(b)(i) prove that the trigonometric identity_____1_____ _____cot²x______=cos²(1 tan²x) ² (1 cot²x) ²
(b)(ii) Find all values of Z=64³?
Answers
Answered by
oobleck
If you mean √(1+x) then that's
(1+x)^(1/2) = 1^(1/2)*x^0 + (1/2)*1^(-1/2)*x^1 + ... + (1/2)(-1/2)(-3/2)(-5/2)*1^(-7/2)*x^4 + ...
= 1 + x/2 - x^2/8 + x^3/16 - 5x^4/128 + ...
(bi) How about some + and - signs in there? If there's a fraction involved, use / and () to disambiguate.
(bii) I assume you mean 64^(1/3).
That would be 4cis(2kπ/3) for all integer k
(1+x)^(1/2) = 1^(1/2)*x^0 + (1/2)*1^(-1/2)*x^1 + ... + (1/2)(-1/2)(-3/2)(-5/2)*1^(-7/2)*x^4 + ...
= 1 + x/2 - x^2/8 + x^3/16 - 5x^4/128 + ...
(bi) How about some + and - signs in there? If there's a fraction involved, use / and () to disambiguate.
(bii) I assume you mean 64^(1/3).
That would be 4cis(2kπ/3) for all integer k
Answered by
ella
How about a complete expression of the problem solution
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.