find the exact value of csc (5π) / 2?

Answer 1

Question may be read as :-

Question 1
[ csc (5π) ] / 2
undefined


or

Question 2
csc (5π/2)
1 / sin (5π/2)
1 / 1
1

Answer 2

Sin pi/2 is sine ninety ranges, is a million--this is on the the best decision of the circle. Cosine -3pi/4 is the comparable as cos 5 pi/4 (upload 2 pi to work out) and is -sqrt 2/2. Csc 2 pi is undefined, because of the fact this is the reciprocal of sin 2 pi, this is 0. 8 sin^2 pi/3 is 8(sqrt 3/2)^2 is 8 * 3/4 is 6. 3 tan pi/4 is thrice a million (it somewhat is a forty 5 degree attitude; the tangent is one because of the fact the x and y are equivalent). so 6-3 =3. Sine^2 +cos^2 of any attitude (as long as they are the comparable attitude) is a million.

Answer 3

csc (5pie ) / 2 = csc [( 5pie /2) - 2pie)]
= csc ( pie / 2)
we have , sin (pie / 2) = 1
so
csc( pie / 2) = 1 / sin( pie / 2) = 1

csc( 5pie ) / 2 = 1

Answer 4

csc(5pi/2) = csc(2pi + pi/2) = csc(pi/2) = 1

Answer 5

csc (5π) = csc (π). However, since csc x = 1/sin x, and sin (π) = 0, csc (π) is undefined, and therefore the answer is undefined.

Answer 6

The answer is 1.