SOLUTION: . An angle α is in standard position and its terminal side passes through the point (−3, − 4). Find 1 + tan2 α .

Algebra ->  Trigonometry-basics -> SOLUTION: . An angle α is in standard position and its terminal side passes through the point (−3, − 4). Find 1 + tan2 α .       Log On


   

Question 1150486: . An angle α is in standard position and its terminal side
passes through the point (−3, − 4). Find 1 + tan2 α .
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall: Given a point on the terminal side of an angle alpha in standard position. Then:
r=sqrt%28x%5E2%2By%5E2%29
sin%28alpha%29=y%2Fr
cos%28alpha%29=x%2Fr
csc%28alpha%29=r%2Fy
sec%28alpha%29=r%2Fx
tan%28alpha%29=y%2Fx
cot%28alpha%29=x%2Fy



you re given the point: (-3, -4%7D%7D%29=%28%7B%7B%7Bx, y%7D%7D%29%0D%0A%0D%0Athen%0D%0A%0D%0A%7B%7B%7Btan%28alpha%29=y%2Fx
tan%28alpha%29=-4%2F-3
tan%28alpha%29=4%2F3

and +1+%2B+tan%5E2+%28alpha%29=+1+%2B+%284%2F3%29%5E2+=1%2B16%2F9=9%2F9%2B16%2F9=25%2F9