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A day full of math games & activities. Find one near you.
If sin θ = 5/6, what are the values of cos θ and tan θ?
Solution:
It is given that
sin θ = 5/6
We know that
cos θ = √(1 - sin2θ)
Substituting the value of sin θ
cos θ = √(1 - (5/6)2)
cos θ = √(1 - 25/36)
cos θ = √11/36
cos θ = ±√11/6
From the trigonometric ratio
tan θ = sin θ/ cos θ
Substituting the values
tan θ = 5/6/ ±√11/6
So we get
tan θ = 5/±√11
Therefore, the values of cos θ = ±√11/6 and tan θ = 5/±√11.
If sin θ = 5/6, what are the values of cos θ and tan θ?
Summary:
If sin θ = 5/6, the values of cos θ = ±√11/6 and tan θ = 5/±√11.
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