Foundation
Mathematics Foundation
Introduction to Trigonometry
Question
If then sin θ = ?
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Solution
Given sec θ = 25/7, we know cos θ = 1/sec θ = 7/25. Using the Pythagorean identity: sin²θ + cos²θ = 1.
Therefore, sin²θ = 1 - cos²θ = 1 - (7/25)² = 1 - 49/625 = (625 - 49)/625 = 576/625.
Taking the square root, sin θ = √(576/625) = 24/25.
Final answer: