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cot θ
B / P = 1 / tan θ = cos θ / sin θ
Where: B = base, P = perpendicular, θ = angle
Solved example
Given: P = 7, theta = 45°
Find: B (base)
- Formula: B/P = 1/tan(θ)
- Rearranged for B: B = P/tan(θ)
- Substitute the values: B = 7/tan(45°)
- Result: B = 7
Answer: B = 7
Calculator
How to calculate cot θ
- Write down the formula: B / P = 1 / tan θ = cos θ / sin θ.
- Note the known values (P, θ).
- Substitute them and simplify to find B.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for cot θ?
The formula is B / P = 1 / tan θ = cos θ / sin θ, where B = base, P = perpendicular, θ = angle.
What is cot θ when P = 7, theta = 45°?
B = 7. Substitute the values into B / P = 1 / tan θ = cos θ / sin θ and simplify.