Question

find the limit of the trigonometric function.
lim as x approaches 0 sec2x

Answer 1

just plug in 0 for x, you get sec(0) = 1

Answer 2

I bet its really easy but I don't see why its one

Answer 3

The value of sec (0) is 1.

Why? sec (0) = 1/cos(0) = 1/1 = 1

secant function is the reciprocal of the cosine function.

Answer 4

Makes sense?

Answer 5

can that be shown on the unit circle

Answer 6

yes

Answer 7

can you show me

Answer 8

On the unit circle, a circle whose radius is 1 and center is at (0,0).

Look at the point (0,1). The x-coordinate is cos x. So cos 0 = 1.

Since cos 0 = 1, then sec 0 = 1 becuase secant and cosecant are reciprocal functions.

Answer 9

I think I kind of see it...so lets say the radius for the unit circle was two instead of 1. the sec of zero would be 2

Answer 10

here u go

Answer 11

exactly

Answer 12

ok thanks

Answer 13

welcome.