If tan 15θ = cot 15θ and (0° < θ < 10°), then the value of θ is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 3°.
tan 15θ = cot 15θ
⇒ tan 15θ = tan (90° - 15θ)
⇒ 15θ = 90° - 15θ
⇒ 30θ = 90°
⇒ θ = 3°
SSC Selection Post - Higher Secondary Level - 28 June 2023 - Shift 2 • Quantitative Aptitude • Q64
If tan 15θ = cot 15θ and (0° < θ < 10°), then the value of θ is:
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 3°.
tan 15θ = cot 15θ
⇒ tan 15θ = tan (90° - 15θ)
⇒ 15θ = 90° - 15θ
⇒ 30θ = 90°
⇒ θ = 3°