SOLUTION: Suppose x is a real number such that 3tan(t)=x where t is a first quadrant angle. Find algebraic expressions (in terms of 3 and x ) for sin(t) and cos(t).
Algebra ->
Trigonometry-basics
-> SOLUTION: Suppose x is a real number such that 3tan(t)=x where t is a first quadrant angle. Find algebraic expressions (in terms of 3 and x ) for sin(t) and cos(t).
Log On
Question 958119: Suppose x is a real number such that 3tan(t)=x where t is a first quadrant angle. Find algebraic expressions (in terms of 3 and x ) for sin(t) and cos(t). Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Suppose x is a real number such that 3tan(t)=x where t is a first quadrant angle. Find algebraic expressions (in terms of 3 and x ) for sin(t) and cos(t).
***
3tan(t)=x
tan(t)=x/3
hypotenuse of reference right triangle in quadrant I =√(x^2+3^2)
sin(t)=x/√(x^2+3^2)
cos(t)=3/√(x^2+3^2)
(