SP #7: Unit Q Concept 2: Finding all trig functions when given one trig function and quadrant

This SP7 was made in collaboration with Adrie. Please visit the other awesome posts on her blog by going here. 



What is this problem about?
This problem will go over the steps on how to all trig functions when given one trig function and a quadrant by using identities. We will also try to fund the trig functions using SOH-CAH-TOA to show that both methods can give us the same answers.


Identity Work (Unit Q Concept 2)

SOH-CAH-TOA Work (Unit O Concept 5)

Make sure you pay attention to the rationalization, because we can never have a radical as a denominator. Along with that, make sure to remember your identities, so you know why we plug the values in those numbers. Also, keep in mind that 

Pay close attention to the relationships because in the end, SOh-CAH-TOA and trig function identities both give us the same answer to all trig functions.