Pythagorean Identity and Basic Trig Identities

Grade 10·25 problems·~37 min·ACT Math·topic·act-geo-trig-pythagid

Work through problems with immediate feedback

Recall / Warm-Up

$Unit circle with point P at angle θ in Quadrant I, labeled (x, y), with dashed projections to the x-axis and y-axis.$

A point on the unit circle at angle $\theta$ has coordinates $(x, y)$ . Which statement is correct?

$x = \sin\theta$ and $y = \cos\theta$

$x = \cos\theta$ and $y = \sin\theta$

$x = \tan\theta$ and $y = \sec\theta$

$x = \sec\theta$ and $y = \csc\theta$