ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
Answer:
1 in 4 chance
Step-by-step explanation:
because if it is a 50% chance to get heads on one toss, then for two tosses you have to multiply 1/2 * 1/2 and that equals 1/4
Answer:
The width of the rectangle is 56 and the length is 48
Step-by-step explanation:
divide the perimeter in half (52 + 52)
then subtract 4 from one of the 52's
you get the answer of 56 and 48
Your answer can be checked by conferming that 56 - 48 = 8 so the width of a rectangle is 8 inches longer than its length.
The maximum number of roots to a polynomial of order n is n roots. Take the example of a quadratic (order 2) which can intersect the x-axis a maximum of 2 times, and similarly a cubic (order 3) 3 times maximum.
Hence for 8 intersections, minimum order = 8
An integer is like -5,-4,-3,-2,-1,0,1,2,3,4...
all counting numbers plus 0 and negatives
so no fractions
so an an easmple of a rational number that is not an integer is any fraction a/b such that it doesn't sipmlify to an integer
examples
2/3
1/4
5/6
9/10
etc
