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sec θ
H / B = 1 / cos θ
Where: B = base, H = hypotenuse, θ = angle
Solved example
Given: H = 7, theta = 45°
Find: B (base)
- Formula: H/B = 1/cos(θ)
- Rearranged for B: B = H·cos(θ)
- Substitute the values: B = 7·cos(45°)
- Result: B = 4.949747
Answer: B = 4.949747
Calculator
How to calculate sec θ
- Write down the formula: H / B = 1 / cos θ.
- Note the known values (H, 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 sec θ?
The formula is H / B = 1 / cos θ, where B = base, H = hypotenuse, θ = angle.
What is sec θ when H = 7, theta = 45°?
B = 4.949747. Substitute the values into H / B = 1 / cos θ and simplify.