If tan 3A cot A 22 deg where 3A is an acute angle then what is the value of A ........

Quantitative Aptitude (CDS) Trignometry

If tan (3A) = cot (A - 22°), where 3A is an acute angle, then what is the value of A ?

This questions was previously asked in

2024 CDS -1 MATH

25°

27°

28°

30°

- The given equation is tan(3A) = cot(A - 22°).

- The cotangent is the reciprocal of the tangent. Therefore, tan(3A) = 1/tan(A - 22°).

- This relationship implies that angles 3A and A - 22° are complementary. So, 3A + (A - 22°) = 90°.

- Simplifying this equation: 3A + A - 22° = 90°

- Combine like terms: 4A - 22° = 90°

- Add 22° to both sides: 4A = 112°

- Divide by 4: A = 28°

- Option 3: 28° is correct

Submit Error