Step-by-step explanation:
- sinx+sin(x+4x) =cot2x
- sinx+sinx cos4x+cosx sin4x=cot2x
sinx+sinx cos4x=sinx (1+cos4x) =
sinx (1-1+2(cos2x)^2) =2sinx (cos2x)^2
sin4x=2sin2xcos2x
2sinx(cos2x)^2+cosx+2sin2xcos2x=cot2x
2sinxcos2x(cos2x+2(cosx)^2)=cot2x
but 2(cosx)^2=cos2x+1
2sinxcos2x(cos2x+cos2x+1)=cos2x/sin2x
(2sinxsin2x)(2cos2x+1) =1
(4cosx(sinx)^2)(2cos2x+1) =1
Answer:
r = 3/2
Step-by-step explanation:
ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get ). If we take 24 and divide it by 16, we get the common ratio of 3/2 (, ).
Answer:
Avoid Using too many statistics
Step-by-step explanation:
when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.
Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.
Answer:
42
Step-by-step explanation:
The answer to life the universe and everything is 42