Question

if sect= -5 and terminal point for t is in quadratic 2 find sin^2t+cos^2t

Answer 1

Do they want us to work this out the long way?
Or can we simply make use of our most basic trig identity?\[\Large\bf\sf \sin^2t+\cos^2t\quad=\quad 1\]

Answer 2

it just says to find sin^2t+cos^2t

Answer 3

Ok fine we'll do it the long way ^^

Answer 4

which ever way makes more sense so I can understand it :)

Answer 5

We can relate secant back to cosine using our identity,\[\Large\bf\sf \sec t\quad=\quad \frac{1}{\cos t}\]
So if,\[\Large\bf\sf \sec t\quad=\quad -5\]It implies,\[\Large\bf\sf \cos t\quad=\quad -\frac{1}{5}\]That make sense so far? :o

Answer 6

ya

Answer 7

We're going to use this information to draw a triangle in the `second quadrant`.
Because that's where they told us we're located.