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).

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)
RELATED QUESTIONS
Suppose x is a real number such that 5cos(ϕ)=x where ϕ is a first quadrant... (answered by lwsshak3)

If cot t =x and t is in quadrant I, use a right triangle to find expressions for sin t... (answered by jrfrunner)

Suppose sinθ=x/6 and the angle θ is in the first quadrant. Write algebraic... (answered by lwsshak3)

Suppose sinθ=x/4 and the angle θ is in the first quadrant. Write algebraic... (answered by Fombitz)

Suppose sinθ=x3 and the angle θ is in the first quadrant. Write algebraic... (answered by lwsshak3)

Suppose sinθ=x4 and the angle θ is in the first quadrant. Write algebraic... (answered by lwsshak3)

Suppose sinθ=x9 and the angle θ is in the first quadrant. Write algebraic... (answered by Alan3354)

If tan(t)=x and t is in quadrant I, how would you use a right triangle to find... (answered by lwsshak3)

If angle x is in Quadrant III and 2tan(x) - 3 = 3tan(x) - 4, find the number of degrees... (answered by lwsshak3)