How does sec-squared x equals 1 plus tan-squared x?
Let s = sin x; c = cos x.
sec x = 1/cos x = 1/c; and
tan x = (sin x) / (cos x) = s/c.
We know, also, that s2 + c2 = 1.
Then, dividing through by c2, we have,
(s2/c2) + 1 = (1/c2), or
(s/c)2 + 1 = (1/c)2; in other words, we have,
tan2 x + 1 = sec2 x.
What is the answer to this problem If 1 plus 5 equals 12 and 2 plus 10 equals 24 and 3 plus 15 equals 36 then 5 plus 25 equals what?
Commutative, not communtative The mathematical property of being able to change the order of the numbers and not change the answer. A plus B equals B plus A (1 plus 3 equals 4, 3 plus 1 equals 4) A times B equals B times A (2 times 5 equals 10, 5 times 2 equals 10) Addition and multiplication are commutative operators A minus B is not necessarily equal to B minus A (6 minus 4…