SOLUTION: Suppose that x = 3sin(θ). What is the value of tan(θ)?

Algebra.Com
Question 563505: Suppose that x = 3sin(θ). What is the value of tan(θ)?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
x = 3sin(θ). What is the value of tan(θ)
x/3 = sin(θ)=opposite side/hypotenuse
adjacent side=√(3^2-x^2)= √(9-x^2)
tan(θ)=opposite side/adjacent side=x/√(9-x^2)

RELATED QUESTIONS

find the value of √sinθ cosθ/secθ cscθ given that tanθ=3/4 (answered by Alan3354)
Find the value of √sinθ cosθ/secθ cscθ given that tanθ=3/4 (answered by Alan3354)
Suppose sinθ=x9 and the angle θ is in the first quadrant. Write algebraic... (answered by Alan3354)
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)
Given that tanθ=1/√5 find the value of... (answered by solver91311)
Marty is proving that the following trigonometric identity is true:... (answered by Alan3354,ikleyn)