# An acute angle θ is in a right triangle with sin θ = eight ninths. What is the value of cot θ?

**Solution:**

Given sinθ = eight ninths = 8/9

Θ = sin⁻¹(8/9) = 62.73°

cot θ = {cosθ}/{sinθ}

= cos(62.73°)/ sin(62.73°)

= 0.458/0.888

= 0.51

cot θ = 0.51

## An acute angle θ is in a right triangle with sin θ = eight ninths. What is the value of cot θ?

**Summary: **

An acute angle θ is in a right triangle with sin θ = eight ninths. The value of cot θ is 0.51