Which equation supports the given conjecture?
the sum of the squares of two consecutive integers is an odd integer.
a.
(2 + 3)2
b.
32 + 52 = 34
c.
4 + 52 = 29
d.
52 + 62 = 61

The first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors)  we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect.  additionally, some of the equations are obviously false such as 52+62=61

We need to find the angle theta for which csc (theta) is undefined.

csc is the reciprocal of sine trigonometric function.

Therefore, csc (theta) = 1/ sin (theta).

We know sin(0)° = 0.

Let us check the value of csc (theta) by taking theta =0.

csc(0)° = 1/ sin (0)°.

Plugging value of sin(0)° = 0.

csc(0)° = 1/0.

1/0 is undefined value.

Therefore, correct option is a.0.