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cosec θ
H / P = 1 / sin θ
Where: H = hypotenuse, P = perpendicular, θ = angle
Solved example
Given: P = 7, theta = 45°
Find: H (hypotenuse)
- Formula: H/P = 1/sin(θ)
- Rearranged for H: H = P/sin(θ)
- Substitute the values: H = 7/sin(45°)
- Result: H = 9.899495
Answer: H = 9.899495
Calculator
How to calculate cosec θ
- Write down the formula: H / P = 1 / sin θ.
- Note the known values (P, θ).
- Substitute them and simplify to find H.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for cosec θ?
The formula is H / P = 1 / sin θ, where H = hypotenuse, P = perpendicular, θ = angle.
What is cosec θ when P = 7, theta = 45°?
H = 9.899495. Substitute the values into H / P = 1 / sin θ and simplify.