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SSC CGL 2025 First Shift 📅 17 Sep, 2025

If sin A + cos A = 5/4, find sin 2A.

A
1/4
B
5/18
C
7/8
D
9/16
Result Summary
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APEDIA

SSC CGL
2025 • 17 Sep, 2025 • First Shift
If sin A + cos A = 5/4, find sin 2A.
Correct Answer
9/16
Squaring both sides: sin²A + cos²A + 2sinAcosA = 25/16. 1 + sin 2A = 25/16 => sin 2A = 9/16.[span_72](start_span)[span_72](end_span)...
💡 Analysis & Explanation
Squaring both sides
sin²A + cos²A + 2sinAcosA = 25/16. 1 + sin 2A = 25/16 => sin 2A = 9/16.[span_72](start_span)[span_72](end_span)