Question

sec theta = square root of 2. Where theta lies in Quadrant 1. What is tan theta.

Answer 1

so\[1/\cos = \sqrt{2} \]

\[\cos = 1/\sqrt{2}\]

use pythagoras... but missing side is 1 unit

tan = 1

Answer 2

oops 1 should be on the x axis,.... and you need to find the opposite side

Answer 3

1 + tan theta squared = sec theta squared

tan theta squared = 2 - 1

tan theta = 1 (positive in Quad I)

Answer 4

why is the missing side one unit?