tan (theta) or tan (beta)
sec (theta) or sec (beta)
cos (theta) or cos (beta)
Picture: http://img175.imageshack.us/img175/9250/mathhi0.jpg
How on earth do you know?
Thanx
2006-10-10 03:21:05 · 3 answers · asked by Aly W 1 in Science & Mathematics ➔ Mathematics
Let's start with the fact that beta is greater than theta; I think you'll agree with that. We'll also make the assumption, based on the graphic, that both angles are acute. We can't find the answer without that assumption.
For acute angles, tan is an increasing function, so tan (beta) > tan (theta). sec = 1/cos, and cos is a decreasing function for acute angles, so sec is an increasing function and sec (beta) > sec (theta). As I just mentioned, cos is a decreasing function here, so cos (beta) < cos (theta).
2006-10-10 03:25:30 · answer #1 · answered by DavidK93 7 · 2⤊ 0⤋
tan theta is smaller than tan beta ... ( sin/cos beta > sin/cos theta .... cos theta = cos beta ....sin beta .> sin theta
sec theta (1/cos) or sec (1/cos) beta
side ab is cos for both theta and beta .... so 1/cos = 1/cos or sec theta = sec beta
cos theta = cos beta ( see problem 2)
2006-10-10 11:34:28 · answer #2 · answered by Brian D 5 · 0⤊ 0⤋
You know, you could just substitute in values into a calculator.
2006-10-10 10:24:10 · answer #3 · answered by Melody 3 · 0⤊ 0⤋