find the exact value trigonometry

Calculus
Tutor: None Selected Time limit: 1 Day

sin ( ar ct an ) (2))?

Jun 8th, 2015

Thank you for the opportunity to help you with your question!

θ = arctan(2)
tan(θ) = 2 = 2/1

Draw right triangle with side opposite θ = 2, and side adjacent to θ = 1
Then hypotenuse = √(2²+1²) = √5

sin(arctan(2)) = sin(θ)
. . . . . . . . . . . . = opposite/hypotenuse
. . . . . . . . . . . . = 2/√5  or 0.8944

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Jun 8th, 2015

how you know when is positive or negative √(4²((((((((+))))))))1²) = √15 

Jun 8th, 2015

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