Question
Evaluate by using the Pythagorean identities
Find sin θ and cos θ if tan θ=1/6 and sin θ >0
Find sin θ and cos θ if tan θ=1/6 and sin θ >0
Answers
Scott
tan = sin / cos ... cos = 6 sin
sin^2 + cos^2 = 1 ... 37 sin^2 = 1
sin^2 + cos^2 = 1 ... 37 sin^2 = 1
Steve
tanθ and sinθ are both positive only in QI
Draw your standard triangle. You have
y = 1
x = 6
r = √37
tanθ = y/x
sinθ = y/r
cosθ = x/r
Draw your standard triangle. You have
y = 1
x = 6
r = √37
tanθ = y/x
sinθ = y/r
cosθ = x/r