If sin(90°-A) = 3/5, then what is the value of tan A?
Show answer & explanation
Correct answer: D
Explanation
sin(90° − A) = cos A
cos A = 3/5
sin A = √(1 − cos²A) = √(1 − 9/25) = √(16/25) = 4/5
tan A = sin A / cos A = (4/5) ÷ (3/5) = 4/3
SSC Selection Post - Higher Secondary Level - 25th July 2025 - Shift 2 • Quantitative Aptitude • Q38
If sin(90°-A) = 3/5, then what is the value of tan A?
Correct answer: D
Explanation
sin(90° − A) = cos A
cos A = 3/5
sin A = √(1 − cos²A) = √(1 − 9/25) = √(16/25) = 4/5
tan A = sin A / cos A = (4/5) ÷ (3/5) = 4/3