If tan A = 1/√3, find sin A and cos A.
Show answer & explanation
Correct answer: A
Explanation
Given:
tan A = 1/√3
By the formula:
tan A = sin A / cos A
sin²A + cos²A = 1
tan A = 1/√3 ⇒ A = 30°
sin A = 1/2
cos A = √3/2
sin A = 1/2, cos A = √3/2
SSC CHSL - 22 Nov 2025 - Shift 1 • Quantitative Aptitude • Q75
If tan A = 1/√3, find sin A and cos A.
Correct answer: A
Explanation
Given:
tan A = 1/√3
By the formula:
tan A = sin A / cos A
sin²A + cos²A = 1
tan A = 1/√3 ⇒ A = 30°
sin A = 1/2
cos A = √3/2
sin A = 1/2, cos A = √3/2