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# 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 - sin^{2}θ)

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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